Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Evaluate  .
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2.
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The range of the function  is
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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 = –3 | D. | x =
–2 |
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4.
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Which graph represents the function  ?
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5.
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Which if the following is equivalent to the expression  ?
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6.
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Evaluate the expression  to the nearest hundredth. A. | 7.76 | C. | 10.82 | B. | 9.76 | D. | 7.01 |
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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.
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8.
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Solve  . A. | x = 6 | C. | x =  | B. | x =  | D. | x =
729 |
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9.
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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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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 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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Short Answer
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1.
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Evaluate  .
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2.
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Sketch the graph of the function  .
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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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The stellar magnitude scale compares the brightness of stars using the equation
 , where  and  are the apparent magnitudes (how bright
the stars appear in the sky) of the two stars being compared, and  and  are their
brightness (how much light they emit). a) The brightest appearing star in our sky, Sirius,
has an apparent magnitude of -1.5. How much brighter does Sirius appear
than Betelgeuse, whose apparent magnitude is 0.12? Round your answer to the nearest whole
number. b) The Sun appears about  times as bright in the sky as does
Sirius. What is the apparent magnitude of the Sun, to the nearest tenth?
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2.
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Solve the equation  .
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