Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which of the reciprocal functions has a vertical asymptote with equation  ?
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2.
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What is the x-intercept of  ? A. | There is no x-intercept. | C. |  | B. |  | D. | 0 |
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3.
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Which function has a graph in the shape of a parabola?
A. |  | C. |  | B. |  | D. | none of the
above |
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4.
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Solve the equation  . A. | x = –3 | C. | x =  | B. | x =  | D. | x = 8,
x = –9 |
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5.
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What are the x-intercepts of the graph of  ? A. | –7, –5 | C. | 7, 5 | B. | 2, –9 | D. | –2, 9 |
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6.
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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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7.
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Which 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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8.
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Given the functions  and  , determine the equation for the combined
function  .
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9.
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Given the functions  and  , determine the equation for the combined
function  .
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10.
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Given the functions  and  , what is the domain of the composite
function  ? A. |  | C. |  | B. |  | D. | cannot be
determined |
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For the following question(s), assume that x is in radians, if
applicable.
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11.
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Given the functions  and  , what is the value of  ?
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12.
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Shown is the graph of  , where  and  is a function
of the form  .
What
equation represents  ?
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13.
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Given the functions  and  , determine the domain of the combined
function  . A. |  | C. |  | B. | cannot be
determined | D. |  |
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14.
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Given the function  , determine the value of  .
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15.
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What is the value of 6!?
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16.
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The number of different ways that 9 bikes can be locked in a bike rack is
A. | 3 628 800 | C. | 40 320 | B. | 20 160 | D. | 362 880 |
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17.
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For which of the following terms is a = 55 in the expansion of (x
+ y)11?
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18.
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How many terms are there in the expansion of  ?
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19.
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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?
A. | 5040 | C. | 81 | B. | 40 320 | D. | 362 880 |
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20.
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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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Short Answer
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1.
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Consider the function  . a) Determine the key features
of the function: i) domain and
range ii) intercepts
iii) equations of any asymptotes b) Sketch the graph of the function. 
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2.
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There are 5 men and 8 women available for a 5-person committee. If the committee
must have at least one man and one woman, how many possible committees are there?
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3.
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A neon sign with the words “Espresso Coffee” on it has 5 letters
burnt out. In how many ways can you select 3 good letters and 2 burnt-out letters?
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Problem
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1.
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Write an equation for the graph of the rational function shown. Explain your
reasoning. 
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2.
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The number of different permutations using all of the 1-digit numbers of a set
is given by  . a) What is the smallest number that can be
created that meets these conditions? Explain your reasoning. b) What is the difference
between the largest number and the smallest number? Explain your reasoning.
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