Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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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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2.
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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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3.
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When b < 0, the function  has what relationship to the base
function  ? A | f(x) is stretched horizontally by a factor of 1/|b| | B | f(x) is
stretched horizontally by a factor of 1/|b| and reflected in the y-axis | C | f(x) is
stretched vertically by a factor of |b| | D | f(x) is stretched vertically by a
factor of |b| and reflected in the x-axis |
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4.
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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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5.
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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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6.
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What is the equation of the transformed function, g( x), after the
transformations are applied to the graph of the base function  , shown in blue, to
obtain the graph of g( x), shown in red? 
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7.
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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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8.
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Which graph shows the solution to the radical equation  ?
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9.
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What is the solution to the radical equation  ?
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10.
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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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Short Answer
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1.
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2.
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Solve the equation  graphically.
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Problem
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1.
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The speed, s, in metres per second, of sound in dry air is can be
described by the function  , where T is temperature, in degrees
Celsius. a) Determine the domain and range of the function. b) Determine the
speed of sound, to the nearest tenth of a metre per second, for each of the following
temperatures. i) –8°C ii) 12°C iii)
32°C c) Graph the function and determine the x-intercept using the
graph. d) What is the meaning of the x-intercept in this context?
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2.
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The kinetic energy (energy of motion), E, in joules, of an object is
given by the equation  , where m represents the mass of the object, in
kilograms, and v represents its speed, in metres per second. a) Determine the
general equation for the velocity of a mass as a function of its kinetic energy. b) Find
the speed of an object of mass 12 kg moving with a kinetic energy of i) 200 J ii)
420 J c) Graph the function if the mass is 12 kg. d) John conducts an
experiment and graphs the data, resulting in the graph below. What is the mass of the
object? 
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