Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which set of properties is correct for the function  ?
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2.
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The equation  can also be written as
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3.
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Which function is represented by the following graph? 
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4.
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Which equation can be used to model the given information, where the population
has been rounded to the nearest whole number? Year (x) | Population
(y) | 0 | 100 | 1 | 104 | 2 | 108 | 3 | 112 | 4 | 117 | 5 | 122 | | |
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5.
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A radioactive sample with an initial mass of 1 mg has a half-life of 15 days.
What is the equation that models the exponential decay, A, for time, t, in 15-day
intervals?
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6.
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A rumour is being spread in a community that the mayor is going to retire before
the next election. Initially, 5 people were told the rumour and each of these people told 5 others
the following day. Each of the 5 people told by the initial people told 5 others the day after they
were told. If this process keeps up, how many people will be told the rumour on the seventh
day?
A | 15 625 people | C | 35 people | B | 78 125 people | D | 390 625 people |
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7.
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Jennifer deposited some money into an account that pays 3% per year, compounded
annually. Today her balance is $300. How much was in the account 5 years ago, to the nearest
cent? [Hint: Use  .] A | $266.55 | C | $258.78 | B | $60.00 | D | $100.00 |
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8.
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Mohamed purchased a car for $34 000. It depreciates by 10% of its current value
every year. How much will the car be worth 3 years after it is purchased?
A | $45 254.00 | C | $24 786.00 | B | $11 333.33 | D | $340 000 |
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9.
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Another way of writing  is
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10.
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Compared to the graph of the base function  , the graph of the
function  is translated A | 2 units to the right | C | 2 units to the left | B | 2 units up | D | 2 units down |
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11.
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Which graph represents the function  ?
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12.
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Which of the following is equivalent to the expression  ?
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13.
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Evaluate the expression  to the nearest hundredth.
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14.
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Solve  . Round your answer to two decimal places.
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15.
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Solve  . Round your answer to two decimal places.
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Short Answer
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1.
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a) Determine the type of function shown in each graph. i)
 ii)  iii)  b) Describe what
you would expect to see in the first differences column of a table of values for each graph in part
a).
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2.
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Michael has invested some money with a financial institution. The scatter plot
shows how his money has grown over time.  a) Do the data show an
exponential trend? Explain your reasoning. b) Estimate values of a and b to
develop a model for the information of the form  , for t in years. c) Use
your model to predict the expected value of Michael’s investment in 30 years. d) How
does the result in part c) illustrate the power of exponential growth?
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3.
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Solve for x: 
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4.
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Evaluate  .
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5.
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Sketch the graph of the function  .
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Problem
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1.
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Given  and  , find the value of  .
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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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3.
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Explain the steps used to solve the equation  .
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