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 A. | translated down 10 units and left 6 units, horizontally stretched by a factor of  ,
reflected in the y-axis, vertically stretched by a factor of 3, and reflected in the
x-axis | C. | translated down 10 units and left 6 units, horizontally stretched by a factor of  ,
not reflected in the y-axis, vertically stretched by a factor of 3, and not reflected in the
x-axis | B. | translated down 10 units and right 6 units, horizontally stretched by a factor of
 , reflected in the y-axis, vertically stretched by a factor of 3, and not reflected in the
x-axis | D. | translated up 10
units and left 6 units, horizontally stretched by a factor of  , not reflected in the
y-axis, vertically stretched by a factor of 3, and not reflected in the
x-axis |
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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 of the following is equivalent to the expression  ?
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6.
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Which if the following is equivalent to the expression  ?
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7.
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Solve  . A. | x = 6 | C. | x =  | B. | x =  | D. | x =
729 |
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8.
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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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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 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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If  and  , determine the values of m and
n.
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2.
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A certain type of exponential growth can be described by the equation  ,
where  is the initial amount; k is the doubling time, in years; and N is the
amount after time, t, in years, has passed. Suppose that the population of a small town
doubles every 25 years. How long does it take to triple, to the nearest tenth of a year?
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3.
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Solve for x. 
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Problem
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1.
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The intensity level,  , in decibels, of sound is defined as  , where
I is the intensity of the sound in watts per square metre.The ratio of the intensity of sound
pollution measured at a small airport runway versus that of the local highway is 6420.4. If the sound
level on the local highway is 91 dB, determine the sound level on the runway, to the nearest
decibel.
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2.
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For his dream car, Bruce invested $18 000 at 7.8% interest, compounded monthly,
for 5 years. After the 5 years, he still did not have enough money. How much longer will he have to
invest the money at 5% interest, compounded daily, to have a total of $35 000? Round to the nearest
tenth of a year.
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