Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The two functions in the graph shown are reflections of each other. Select the
type of reflection(s).  A | a reflection in the line y = x | C | a reflection in the
y-axis | B | a reflection in the x-axis and the y-axis | D | a reflection in the
x-axis |
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2.
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Which is the graph of the function  ?
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3.
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Which choice best describes the combination of transformations that must be
applied to the graph of  to obtain the graph of  ? A | a horizontal stretch by a factor of 2 and a horizontal translation of 2 units to the
left | B | a horizontal stretch by a factor of  and a horizontal translation of 4 units
to the right | C | a horizontal stretch by a factor of  and a horizontal translation of 2 units
to the right | D | a horizontal stretch by a factor of –2 and a horizontal translation of 2 units
to the right |
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4.
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In the following graph, which transformations must be applied to the blue curve
to obtain the red curve?  A | a reflection in the x-axis, a vertical translation of 4 units up, and a
horizontal translation of 3 units to the right | B | a reflection in the x-axis, a vertical
translation of 3 units up, and a horizontal translation of 4 units to the right | C | a reflection in the
x-axis, a vertical translation of 3 units down, and a horizontal translation of 4 units to the
right | D | a reflection in the x-axis, a vertical translation of 4 units up, and a
horizontal translation of 3 units to the left |
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5.
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In the graph shown, which transformations must be applied to the blue curve to
obtain the red curve?  A | a reflection in the x-axis and a translation of 5 units
down | B | a reflection in the y-axis and a translation of 5 units up | C | a reflection in the
x-axis and a translation of 5 units up | D | a reflection in the y-axis and a
translation of 5 units down |
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6.
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Which of the following graphs represents the graph of the function 
transformed to  ?
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7.
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When the function  is transformed to  , the graph looks
like
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8.
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Which of the following functions is the correct inverse for the function  ?
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9.
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Which of the following functions is the correct inverse for the function
f( x) =   ?
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10.
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Which of the following functions is the correct inverse for the function  ,
{ x | x ³ 0, x Î R}?
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11.
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Which of the following relations is the correct inverse for the function  ?
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12.
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Which graph represents the inverse of the graph shown? 
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13.
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Which graph represents the inverse of the function shown? 
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14.
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The equation of the inverse of  is
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15.
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In the following graph, what transformations must be applied to the blue curve
to obtain the red curve?  A | a reflection in the x-axis, a vertical translation 5 units up, and a
horizontal translation 3 units to the right | B | a reflection in the x-axis, a vertical
translation 5 units down, and a horizontal translation 3 units to the right | C | a reflection in the
x-axis, a vertical translation 3 units up, and a horizontal translation 5 units to the
left | D | a reflection in the x-axis, a vertical translation 3 units up, and a
horizontal translation 5 units to the right |
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16.
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The two functions in the graph shown are reflections of each other. Select the
type of reflection(s).  A | a reflection in the y-axis | C | a reflection in the line y =
x | B | a reflection in the x-axis and the y-axis | D | a reflection in the
x-axis |
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17.
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Which is the graph of the square root of the function  ?
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18.
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Which graph represents the square root of the function shown in the
graph? 
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19.
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Which of the following functions is the correct inverse for the function  ,
{ x | x ³ 0, x Î
R}?
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20.
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Which graph represents the square root of the graph shown? 
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21.
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Which graph represents the square root of the graph shown? 
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22.
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Which graph shows the graphical solution to the radical equation  ?
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23.
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Which graph shows the graphical solution to the radical equation  ?
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24.
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If  is divided by  to give a quotient of  and a
remainder of –952, then which of the following is true?
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25.
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For a polynomial P( x), if  = 0, then which of the
following must be a factor of P( x)?
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26.
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Which of the following binomials is a factor of  ?
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27.
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Which of the following is the fully factored form of  ?
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28.
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Which of the following is the fully factored form of  ?
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29.
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Which of the following graphs of polynomial functions corresponds to a cubic
polynomial equation with roots 4, 1, and 3?
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30.
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Which of the following graphs of polynomial functions corresponds to a
polynomial equation with zeros –6 (multiplicity of 2) and –1 (multiplicity of 2)?
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31.
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The graph of  can be obtained by translating the graph of  A |  units to the right | C |  units to the
right | B |  units to the right | D |  units to the
right |
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32.
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Which of the following is not an asymptote of the function  ?
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33.
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Which function has zeros only at  ? A | y = tan(q  p) | C | y = tan(q  p) | B |  | D | y = tan(q  p) |
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Use the following information to answer the questions.The height,
h, in metres, above the ground of a car as a Ferris wheel rotates can be modelled by the
function  , where t is the time, in seconds.
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34.
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What is the radius of the Ferris wheel?
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35.
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How long does it take for the wheel to revolve once?
A |  s | C | 160 s | B | 80
s | D | 
s |
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36.
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What is the minimum height of a car?
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37.
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What is the maximum height of a car?
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38.
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Which of the following sets is the set of reciprocal trigonometric
ratios?
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39.
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Which expression is equivalent to  ?
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40.
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Which expression is equivalent to  ?
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41.
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Which set of properties does the function  have? A | no x-intercept, no y-intercept | C | no x-intercept,
y-intercept is 1 | B | x-intercept is 1, no
y-intercept | D | x-intercept is 0, y-intercept is 0 |
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42.
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Which choice best describes the function  ? A | both increasing and decreasing | C | increasing | B | decreasing | D | neither increasing nor decreasing |
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43.
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Which set of properties is correct for the function  ?
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44.
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Which exponential equation matches the graph shown? 
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45.
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The equation  can also be written as
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46.
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For the exponential function  , which of the following statements is
not true? A | The graph of the function is increasing. | B | The graph of the
function is decreasing. | C | The domain is the set of real
numbers. | D | The range is the set of real numbers greater than
zero. |
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47.
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Which of the following transformations maps the function  onto the
function  ? A | a horizontal shift of 5 units to the left and a vertical shift of 7 units
up | B | a horizontal shift of 5 units to the right and a vertical shift of 7 units
down | C | a horizontal shift of 5 units to the right and a vertical shift of 7 units
up | D | a horizontal shift of 5 units to the left and a vertical shift of 7 units
down |
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48.
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Which function results when the graph of  is translated 2 units
down?
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49.
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Which function is represented by the following graph? 
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50.
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Which function results when the graph of the function  is reflected
in the y-axis, compressed vertically by a factor of  , and shifted 2 units down?
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51.
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What is the exponential equation for the function that results from the
transformations listed being applied to the base function  ? •
a reflection in the y-axis
• a vertical stretch by a factor of 6
• a
horizontal stretch by a factor of 7
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52.
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Which graph represents the function  ?
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53.
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Which equation can be used to model the given information, where the population
has been rounded to the nearest whole number? Year (x) | Population
(y) | 0 | 100 | 1 | 104 | 2 | 108 | 3 | 112 | 4 | 117 | 5 | 122 | | |
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54.
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Solve for x, to one decimal place.  A | 1466.6 | C | 36 667.0 | B | 11.1 | D | 5.5 |
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55.
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Solve for x.
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56.
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The half-life of a radioactive element can be modelled by  , where  is
the initial mass of the element;  is the elapsed time, in hours; and  is the mass
that remains after time  . The half-life of the element is
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57.
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Which graph represents the inverse of  ?
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58.
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What is true about the behaviour of the function  as    (right to left)? A |  -¥ | C |  | B |  +¥ | D | f(x) is
undefined |
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59.
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Which graph represents the function  ?
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60.
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The rational function  is represented by which graph?
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61.
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Which function represents the graph shown below? 
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62.
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Which of the following functions has a slant asymptote when graphed?
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63.
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Which function has vertical asymptotes with equations  and 
 ?
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64.
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Which function has a point of discontinuity at  ?
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65.
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Which graph represents  ?
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66.
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Which function has a y-intercept of  ?
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67.
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Which function has a horizontal asymptote with equation   ?
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68.
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Which function has an x-intercept of  ?
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69.
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Which graph of a rational function has the following characteristics? •
a vertical asymptote with equation  • a horizontal asymptote with equation  • a point of discontinuity at 
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For the following question(s), assume that x is in radians, if
applicable.
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70.
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Given the functions  and  , the graph of the combined function 
most likely resembles
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71.
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Given the functions  and  , a graph of the combined function 
most likely resembles
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72.
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Given the functions  and  , what is the range of the composite
function  ?
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73.
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Shown is the graph of  , where  and  is a function
of the form  .
What
equation represents  ?
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74.
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Given the functions  and  , what is the value of  ?
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75.
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Given the functions  and  , the graph of the combined function 
most likely resembles
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76.
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Given the functions  and  , a graph of the combined function 
most likely resembles
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77.
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An equation for the graph shown is most likely 
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78.
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An equation for the graph shown is most likely 
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79.
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Given the functions  and    , which of the following is
most likely the graph of  ?
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80.
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Given the functions  and  , which of the following is most likely
the graph of  ?
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81.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 5 units to the right | C | 5 units down | B | 5 units up | D | 5 units to the
left |
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82.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 4 units to the right | C | 4 units down | B | 4 units to the left | D | 4 units up |
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83.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 9 units to the right | C | 9 units down | B | 9 units up | D | 9 units to the
left |
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84.
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Given the graph of f( x) shown below, what are the coordinates of
point A if the transformed graph is represented by  ? 
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85.
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Given the graph of f( x) shown below, what are the coordinates of
point A if the transformed graph is represented by  ? 
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86.
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The function  represents a transformation that can best be described as
A | a reflection in the x-axis | C | a reflection in the
y-axis | B | a reflection in the x-axis and the y-axis | D | a reflection in the line y =
x |
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87.
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When a function is reflected in the x-axis, the coordinates of point
(x, y) become
A | (x, –y) | C | (–x, –y) | B | (–x,
y) | D | (x,
y) |
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88.
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When a > 0, the function  has what relationship to the base
function  ? A | f(x) is stretched vertically by a factor of |a| and reflected in the
x-axis | B | f(x) is stretched horizontally by a factor of 1/|a| | C | f(x) is
stretched vertically by a factor of |a| | D | f(x) is stretched horizontally by
a factor of 1/|a| and reflected in the y-axis |
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89.
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When b > 0, the function  has what relationship to the base
function  ? A | f(x) is stretched vertically by a factor of |b| and reflected in the
x-axis | B | f(x) is stretched vertically by a factor of |b| | C | f(x) is
stretched horizontally by a factor of 1/|b| and reflected in the y-axis | D | f(x) is
stretched horizontally by a factor of 1/|b| |
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90.
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Which of the graphs shown below represents the base function  and the
stretched function g( x) = (  x) 2?
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91.
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What are the coordinates of the invariant point(s) when the function  is
reflected in the y-axis? A | (2, –2) | C | (0, –2) | B | (–2, 0) and (2, 0) | D | (0, 2) |
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92.
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When the value of a is less than –1, the function 
has what relationship to the base function  ? A | f(x) is compressed vertically | B | f(x) is
reflected and compressed vertically | C | f(x) is stretched
vertically | D | f(x) is reflected and stretched
vertically |
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93.
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Compared to the graph of the base function  , the graph of the function
 is translated A | 9 units to the left and 4 units down | C | 9 units to the right and 4 units
up | B | 4 units to the left and 9 units down | D | 4 units to the right and 9 units
up |
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94.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 8 units to the left | C | 8 units to the right | B | 8 units up | D | 8 units down |
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95.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 5 units down | C | 5 units right | B | 5 units left | D | 5 units up |
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96.
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Compared to the graph of the base function  , the graph of the
function  is A | compressed by a factor of  and not reflected | B | stretched by a factor
of 5 and reflected in the y-axis | C | compressed by a factor of  and reflected
in the y-axis | D | stretched by a factor of 5 and not reflected |
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97.
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When the graph of  is vertically stretched by a factor of 3, the point (9,
–10) will be translated to the point A | (–10, 9) | B | (3, –30) | C | (–30,
9) | D | (9, –30) |
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98.
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Which of the graphs shown below represents the base function  (in black) and
the stretched function g( x) =   (in red)?
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99.
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Given the function  with a domain of  and a range of  ,
which of the following best describes the vertical and horizontal translations with respect to the
graph of  ? A | 5 units to the left and 8 units up | C | 8 units to the left and 5 units
up | B | 8 units to the left and 5 units down | D | 5 units to the left and 8 units
down |
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100.
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Compared to the graph of the base function  , the graph of the function
 is translated A | 4 units to the right and 8 units up | C | 8 units to the left and 4 units
down | B | 4 units to the left and 8 units down | D | 8 units to the right and 4 units
up |
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101.
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Given the function  , which of the following is a restriction on the inverse
function,  ?
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102.
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Which graph shows the solution to the radical equation  ?
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103.
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Which radical equation can be solved using the graph shown below? 
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104.
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Which graph shows the solution to the radical equation  ?
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105.
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What is the solution to the radical equation  ?
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106.
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What is the solution to the radical equation  ?
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107.
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When solving the equation  , which values must be checked for
extraneous roots? A | –4 and 7 | C | 8 and 6 | B | 7 and –7 | D | –4 and
–7 |
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108.
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Which equation of a radical function would have the following domain and
range?  ; 
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109.
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Which graph represents an even-degree polynomial function with a
y-intercept of 9?
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110.
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How many x-intercepts are possible for the polynomial function  ?
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111.
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What is the restriction on x if  is divided by  ?
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112.
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If  is divided by  , then the restriction on x
is
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113.
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What is the remainder when  is divided by  ?
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114.
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If  is divided by  , what is the
remainder?
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115.
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If  is divided by  , what is the remainder? A | P(x – 4) | C | P(x +
4) | B | P(4) | D | P(–4) |
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116.
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Which set of values for x should be tested to determine the possible
zeros of  ? A | ±5, ±7, and ±35 | C | 1, 5, 7, 12, and
35 | B | ±1, ±5, ±7, and ±35 | D | 1, 5, 7, and 35 |
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117.
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Determine the value of k so that  is a factor of  . A | k = –1 | C | k = 14 | B | k = –14 | D | k = 1 |
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118.
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The fully factored form of  is
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119.
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One root of the equation  is
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120.
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What is the maximum number of real distinct roots that a cubic equation can
have?
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121.
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Based on the graph of  , what are the real roots of  ?  A | –6, –2, 2, 4 | C | there are no real
roots | B | 6, 2, –2, –4 | D | impossible to determine |
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122.
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The graph that corresponds to the function  is
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123.
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Given the function  , what are the parameters of the transformed function
y =   and what is the effect of each parameter on the graph of
the original function? A | a =  , vertical stretch about the x-axis by a factor of
h = –8, horizontal translation 8 units right
k = 2, vertical
translation 2 units down | B | a =  , vertical stretch about
the x-axis by a factor of 
h = 2, horizontal translation 2 units
left
k = –8, vertical translation 8 units right | C | a =  ,
vertical stretch about the x-axis by a factor of 
h = 2, horizontal translation 2
units right
k = –8, vertical translation 8 units down | D | a =  ,
vertical stretch about the x-axis by a factor of 
h = 2, horizontal translation
2 units right
k = –8, vertical translation 8 units
down |
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124.
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  radians is equal to how many degrees?
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125.
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The exact radian measure for an angle of 255° is
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126.
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Which of the following angles, in degrees, is coterminal with, but not equal to,
  radians?
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127.
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Determine the arc length of a circle with radius 5.5 cm if it is subtended by a
central angle of   radians. Round your answer to one
decimal place. A | 1.4 cm | C | 4.4 cm | B | 43.2 cm | D | 6.9 cm |
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128.
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Determine the equation of a circle with centre at the origin and radius
8.
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129.
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Determine the equation of a circle with centre at (3, –3) and radius
10.
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130.
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Which graph represents an angle in standard position with a measure of  p rad?
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131.
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Which graph represents an angle in standard position with a measure of
135°?
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132.
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Determine the measure of the angle in standard position shown on the graph
below. Round your answer to the nearest tenth of a degree. A | 161.6° | C | 71.6° | B | 341.6° | D | 251.6° |
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133.
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John cuts a slice from a circular ice cream cake with a diameter of 24 cm. His
slice is in the shape of a sector with an arc length of 7 cm. What is the measure of the central
angle of the slice, in radians? Round your answer to two decimal places, if necessary.
A | 1.71 rad | C | 0.29 rad | B | 3.43 rad | D | 0.58 rad |
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134.
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The coordinates of the point that lies at the intersection of the terminal arm
and the unit circle at an angle of 110° are
A | (0.94, –0.34) | C | (–0.34, 0.94) | B | (–0.34, –2.75) | D | (–2.75,
0.94) |
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135.
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Identify the point on the unit circle corresponding to an angle of 300° in
standard position.
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136.
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Identify the point on the unit circle corresponding to an angle of  radians in standard position.
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137.
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Which point on the unit circle corresponds to tan
q =  ?
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138.
|
Identify a measure for the central angle q in the
interval  such that point (  ,  ) is on the terminal arm.
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139.
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If the angle q is –5000° in standard
position, it can be described as having made
A |  rotations | C | 
rotations | B |  rotations | D |  rotations |
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140.
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During a routine, a figure skater completes  rotations. How many
degrees has the figure skater turned?
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141.
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If the angle q is 1600° in standard position, in
which quadrant does it terminate?
A | quadrant III | C | quadrant II | B | quadrant IV | D | quadrant I |
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142.
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Determine the point in quadrant II where the line represented by  intersects the
unit circle. A | (0.95, –0.32) | C | (–0.35, 0.94) | B | (–0.32, 0.95) | D | (–0.32,
0.94) |
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143.
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The point P(0.391, 0.921) is the point of intersection of a unit circle and the
terminal arm of an angle q in standard position. What is the equation of
the line passing through the centre of the circle and the point P? Round the slope to two decimal
places.
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144.
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Giai got an answer of 3.86 when she was calculating the value of a trigonometric
function. Assuming Giai did her calculation correctly, which of the following was she
calculating?
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145.
|
A bottle is riding the waves at a beach. The bottle’s
up and down motion with the waves can be described using the formula  , where h is the
height, in metres, above the flat water surface and t is the time, in seconds. When is the
first time, to the nearest tenth of a second, that the height of the bottle will be 1.4
m?
A | 14.8 s | C | 0.9
s | B | 1.1 s | D | 1.5
s |
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146.
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Which function, where x is in radians, is represented by the graph shown
below? 
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147.
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The range (in radians) of the graph of  is
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148.
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The period (in degrees) of the graph of  is
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149.
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The amplitude and period (in degrees) of  are A | amplitude = 
period =  | C | amplitude = 
period =
 | B | amplitude = 2
period =  | D | amplitude = –2
period =  |
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150.
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Which graph represents the function y =  sin (  q), where q is in radians?
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151.
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Which graph represents the function y =  cos(  x),
where x is in degrees?
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152.
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Which function is represented by the graph shown below, where q is in radians?
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153.
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Which function is represented by the graph shown below, where x is in
degrees? A | y = sin( x) | C | y = cos( x) | B | y =
cos(x) | D | y
= sin(x) |
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154.
|
What is the amplitude of the sinusoidal function  ? A |  | C | –5 | B | –8 | D | 7 |
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155.
|
Determine the phase shift of the sinusoidal function  . A |  units to the right | C |  units to the
left | B | 3p units to the left | D | 3p units to the
right |
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156.
|
Which graph represents the sinusoidal function  ?
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157.
|
Given the trigonometric function  , find the value of the
y-coordinate of the point with x-coordinate –1200°.
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158.
|
What are the solutions for   = 0 in the interval  ? A | x = 90° and 270°  | C | x = 60° and 240° and 45° | B |     | D | x =
30° and 210°  |
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Use the following information to answer the questions.The height,
h, in centimetres, of a piston moving up and down in an engine cylinder can be modelled by the
function  , where t is the time, in seconds.
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159.
|
What is the piston’s minimum height?
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160.
|
What is the period?
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161.
|
Solve  to three decimal places on the interval  . A | x = 0.340, x = 5.943 | C | x = 1.911, x =
1.231 | B | x = 1.231, x = 5.052 | D | x = 1.911, x =
4.373 |
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162.
|
Solve  , to the nearest tenth of a degree, if necessary, on the
interval  . A | x = 53.1°, x = 126.9° | C | x = 36.9°, x =
323.1° | B | x = 126.9°, x = 233.1° | D | x = 53.1°, x = 306.9° |
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163.
|
Which equation is a reciprocal identity?
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164.
|
Which equation is a quotient identity?
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165.
|
Which equation is a Pythagorean identity?
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166.
|
What does the expression    simplify to?
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167.
|
Which expression is equivalent to  ?
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168.
|
Which expression is equivalent to  ?
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169.
|
Which expression is equivalent to  ?
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170.
|
Express  in terms of cosine and sine only, and simplify. A | 0 | C | 1 | B |  | D |  |
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171.
|
Which expression is equivalent to  ?
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172.
|
Determine the exact value of  .
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173.
|
Simplify  .
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174.
|
Which expression is equivalent to  ?
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175.
|
 is equivalent to
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176.
|
 can be rewritten as
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177.
|
 can be rewritten as
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178.
|
What is the solution to the equation  over the domain  ?
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179.
|
What is the solution to the equation  over the domain  ? A | 60° and 240° | C | no solution | B | 120°, 180°, and 240° | D | 120° |
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180.
|
What is the general solution, in degress, to the equation  ?
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181.
|
What is the general solution, in radians, to the equation  ? A |  where  | C |  where  | B | no solution | D |  where  |
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182.
|
What is the general solution, in radians, to the equation  ? A |  , where  | C | no solution | B |  , where  | D |  , where  |
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183.
|
A radioactive sample with an initial mass of 1 mg has a half-life of 9 days.
What is the equation that models the exponential decay, A, for time, t, in 9-day
intervals?
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184.
|
A colony of ants has an initial population of 750 and triples every day. Which
function can be used to model the ant population, p, after t days?
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185.
|
A bacteria colony initially has 1500 cells and doubles every week. Which
function can be used to model the population, p, of the colony after t days?
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186.
|
A rumour is being spread in a community that the mayor is going to retire before
the next election. Initially, 6 people were told the rumour and each of these people told 6 others
the following day. Each of the 6 people told by the initial people told 6 others the day after they
were told. If this process keeps up, how many people will be told the rumour on the eighth
day?
A | 1 679 616 people | C | 10 077 696 people | B | 279 936 people | D | 48 people |
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187.
|
To the nearest year, how long would an investment need to be left in the bank at
5%, compounded annually, for the investment to triple?
A | 15 years | C | 28 years | B | 26 years | D | 23 years |
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188.
|
Jennifer deposited some money into an account that pays 7% per year, compounded
annually. Today her balance is $300. How much was in the account 10 years ago, to the nearest
cent? [Hint: Use  .] A | $163.18 | C | $42.86 | B | $30.00 | D | $152.50 |
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189.
|
The population of a bacterial culture triples every hour. When the scientist
observed the culture, it had already been growing for some time. She developed the equation for the
population, P, after t hours as  , based on t = 0 representing the
time she started her measurements. How many bacterial cells were there 2 h before she started
measuring?
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190.
|
Solve for x. 
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191.
|
Another way of writing  is
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192.
|
Which of the following represents  ?
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193.
|
Evaluate  .
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194.
|
The range of the function  is
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195.
|
The domain of the function  is
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196.
|
Compared to the graph of the base function  , the graph of the
function  is translated A | 4 units to the left | C | 4 units up | B | 4 units down | D | 4 units to the
right |
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197.
|
Compared to the graph of the base function  , the graph of the function
 is translated A | 6 units to the right and 7 units up | C | 7 units to the right and 6 units
up | B | 7 units to the left and 6 units down | D | 6 units to the left and 7 units
down |
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198.
|
Compared to the graph of the base function  , the graph of the
function  is A | translated down 10 units and left 6 units, horizontally stretched by a factor of  ,
reflected in the y-axis, vertically stretched by a factor of 3, and reflected in the
x-axis | C | translated down 10 units and left 6 units, horizontally stretched by a factor of  ,
not reflected in the y-axis, vertically stretched by a factor of 3, and not reflected in the
x-axis | B | translated down 10 units and right 6 units, horizontally stretched by a factor of
 , reflected in the y-axis, vertically stretched by a factor of 3, and not reflected in the
x-axis | D | translated up 10
units and left 6 units, horizontally stretched by a factor of  , not reflected in the
y-axis, vertically stretched by a factor of 3, and not reflected in the
x-axis |
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199.
|
Which function represents a vertical translation of 7 units down, a horizontal
translation of 8 units right, a horizontal stretch by a factor of  , no reflection in the
y-axis, a vertical stretch by a factor of 6, and no reflection in the x-axis, when compared to the
base function  .
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200.
|
Which graph represents the function  ?
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201.
|
What is the equation for the asymptote of the function  ? A | x = 2 | C | x = –5 | B | x = –3 | D | x =
–2 |
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202.
|
Which graph represents the function  ?
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203.
|
Which graph represents the function  ?
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204.
|
Which of the following is equivalent to the expression  ?
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205.
|
Which if the following is equivalent to the expression  ?
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206.
|
The pH scale is used to measure the acidity or alkalinity of a solution. pH is
defined as  , where  is the concentration of hydronium ions, measured in moles
per litre. Determine the pH of a solution with a concentration of  . Round your answer to two
decimal places.
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207.
|
Solve  . A | x = 6 | C | x =  | B | x =  | D | x =
729 |
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208.
|
Solve  . Round your answer to two decimal places.
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209.
|
A graduate student determines that the relationship between the length,
s, in metres, of the skull and the body mass, m, in kilograms, of a particular species
can be expressed using the equation  . Determine the body mass of an animal with a skull size of
0.56 m. Round your answer to the nearest kilogram. A | 547 kg | C | 343 kg | B | 376 kg | D | 313 kg |
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210.
|
Solve  to the nearest hundredth.
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211.
|
Solve  . Round your answer to two decimal places.
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212.
|
The eye size of many vertebrates is related to body mass by the logarithmic
equation  , where E is the eye axial length, in millimetres, and m is the body mass,
in kilograms. Predict the mass of a vertebrate with an eye axial length of 43 mm. Round your answer
to the nearest hundredth of a kilogram. A | 2.66 | C | 1242.98 | B | 868.60 | D | 1.32 |
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213.
|
Which of the reciprocal functions has a vertical asymptote with equation  ?
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214.
|
What is the value of k in the function  if its graph passes
through the point (3,  ) ? A |  | C | –10 | B | 4 | D | No such k
exists |
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215.
|
What is the equation for the vertical asymptote of the graph of the function
shown? 
|
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216.
|
What is the equation for the horizontal asymptote of the graph of the function
shown? 
|
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217.
|
Which function has a graph in the shape of a parabola?
|
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218.
|
Solve the equation  . A | x =  | C | x =  | B | x = 3 | D | x = 4 |
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219.
|
Solve the equation  . A | x = –3 | C | x =  | B | x =  | D | x = 8,
x = –9 |
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220.
|
What are the x-intercepts of the graph of  ?
|
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221.
|
Given the functions  and  , determine the equation for the combined
function  .
|
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222.
|
Given the functions  and  , what is the domain of the combined
function  ?
|
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223.
|
Given the functions  and  , determine the domain of the combined
function  .
|
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224.
|
Given the functions  and  , determine the domain of the combined
function  .
|
|
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225.
|
Given the functions  and  , what is the domain of the composite
function  ?
|
|
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226.
|
Given the functions  and  , determine the range of the combined
function  .
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227.
|
Given the functions  and  , what is the simplified form of  ?
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228.
|
If  and  , what are the restrictions on the domain
for the combined function  ?
|
|
|
229.
|
If  and  , what is the simplified combined function
 ?
|
|
|
230.
|
|
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|
231.
|
Given the function  , determine the value of  .
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232.
|
What is the value of 6!?
|
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|
233.
|
Evaluate  . A | 32 432 400 | C | 6435 | B | 163 459 296 000 | D | 259 459 200 |
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234.
|
Solve for the variable:  = 252 A | 15 | C | 6 | B |  | D |  |
|
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235.
|
Evaluate the expression  . A | 726 485 760 | C | 2002 | B | 240 240 | D | 126 |
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236.
|
Evaluate the expression  . A | 2184 | C | 794 976 | B | 87 178 291 200 | D | 239 500 800 |
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237.
|
Solve for n in the expression  .
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238.
|
For a mock United Nations, 6 boys and 7 girls are to be chosen. If there are 12
boys and 9 girls to choose from, how many groups are possible?
A | 846 720 | C | 960 | B | 33 264 | D | 120 708 403 200 |
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239.
|
Jenni and Hari go to a local Chinese restaurant for dim sum. If there are 20
items on the menu, and Jenni orders 7 items and Hari orders 11 items, which expression represents the
total number of choices between them?
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240.
|
Determine the coefficient, a, for the term  of the binomial expansion
of  .
|
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241.
|
Determine the 5th term in the expansion of  .
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242.
|
Prom’s friend gives him a row of Pascal’s triangle and asks which
row it comes from. Prom adds the numbers and obtains a sum of 65 536. Which row do the numbers come
from?
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|
243.
|
How many terms are there in the expansion of  ?
|
|
|
244.
|
Which of the following has 30 terms in its binomial expansion?
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245.
|
A scout troop is arranged in a circle for an opening ceremony. If there are 9
scouts, in how many unique ways can they stand around the circle?
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246.
|
A scout troop is arranged in a circle for an opening ceremony with its leaders.
Assuming there are 7 troop leaders who stand together for the ceremony and 39 scouts in total,
including the troop leaders, in how many unique ways can they be arranged around the circle?
|
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247.
|
Suppose that 10 non-collinear points are plotted on a plane. Which expression
represents the number of triangles that can be formed using these points?
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248.
|
The leadership committee at a high school has 4 grade 10 students, 2 grade 11
students, and 6 grade 12 students. This year, 12 grade 10, 8 grade 11, and 10 grade 12 students
applied for the committee. How many ways are there to select the committee?
A | 2 910 600 | C | 733 | B | 100 590 336 000 | D | 163 136 |
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249.
|
After a sports, tournament every player shakes hands with every other player
once. If there are 36 handshakes in total, how many players are at the tournament?
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250.
|
While at the dollar store, Peter finds 19 items at $1 each that he wants, but he
only has $3. The number of ways he could select which items to buy is
|