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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Compared to the graph of the base function  , the graph of the function
 is translated A. | 8 units to the right and 9 units up | C. | 9 units to the right and 8 units
up | B. | 8 units to the left and 9 units down | D. | 9 units to the left and 8 units
down |
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3.
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What is the equation for the asymptote of the function  ? A. | x = 2 | C. | x = 5 | B. | x = –2 | D. | x = 4 |
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4.
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Which of the following is equivalent to the expression  ?
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5.
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Evaluate the expression  to the nearest hundredth. A. | 42.36 | C. | 9.04 | B. | 36.36 | D. | 30.02 |
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6.
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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.
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7.
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Solve  . A. | x = 10 | C. | x = 1024 | B. | x =  | D. | x =  |
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8.
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Solve  . Round your answer to two decimal places. A. | 1.25 | C. | –0.75 | B. | 1.00 | D. | 1.00 |
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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 35 mm. Round your answer
to the nearest hundredth of a kilogram. A. | 1.26 | C. | 2.57 | B. | 707.00 | D. | 435.78 |
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Short Answer
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1.
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Evaluate  .
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2.
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Graph the function  . Identify the domain, the range, and the equation of the
vertical asymptote.
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3.
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Given  , find the value of  .
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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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Explain the steps used to solve the equation  .
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