Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Another way of writing  is
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2.
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Another way of writing  is
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3.
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The domain of the function  is
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4.
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Compared to the graph of the base function  , the graph of the function
 is translated A. | 3 units to the left and 5 units up | C. | 3 units to the right and 5 units
down | B. | 5 units to the left and 3 units up | D. | 5 units to the right and 3 units
down |
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5.
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Which function represents a vertical translation of 7 units down, a horizontal
translation of 10 units right, a horizontal stretch by a factor of  , a 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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6.
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If  ,  , and  , an algebraic expression
in terms of s, v, and x for  is A. | v - 2s + x | C. | v - 2(s - x) | B. | v - 2(s + x) | D. | v - 2s
+ 2x |
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7.
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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. A. | 11.00 | C. | 5.16 | B. | 10.21 | D. | 1.04 |
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8.
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Solve  . A. | x = 6 | C. | x =  | B. | x =  | D. | x =
64 |
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9.
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Solve  . Round your answer to two decimal places.
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10.
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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 17 mm. Round your answer
to the nearest hundredth of a kilogram. A. | 1.10 | C. | 343.40 | B. | 2.26 | D. | 11.03 |
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Short Answer
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1.
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Sketch the graph of the function  .
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2.
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Given  , find the value of  .
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3.
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Solve the equation  . Leave your answer in exact form.
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Problem
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1.
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List the steps and explain the effect of each transformation to graph the
function  .
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2.
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Sketch a graph of the function  and its inverse  . Compare the
graph of  to the graph of the function  . What conclusions can you make?
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