Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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For the exponential function  , which of the following statements is
not true? A | The graph of the function is increasing. | B | The graph of the
function is decreasing. | C | The domain is the set of real
numbers. | D | The range is the set of real numbers greater than
zero. |
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2.
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Which function is represented by the following graph? 
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3.
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Which graph represents the function  ?
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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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Solve for x.
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6.
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A colony of ants has an initial population of 750 and triples every day. Which
function can be used to model the ant population, p, after t days?
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7.
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A bacteria colony initially has 1500 cells and doubles every week. Which
function can be used to model the population, p, of the colony after t days?
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8.
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Jennifer deposited some money into an account that pays 7% per year, compounded
annually. Today her balance is $300. How much was in the account 10 years ago, to the nearest
cent? [Hint: Use  .] A | $163.18 | C | $42.86 | B | $30.00 | D | $152.50 |
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9.
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The population of a bacterial culture triples every hour. When the scientist
observed the culture, it had already been growing for some time. She developed the equation for the
population, P, after t hours as  , based on t = 0 representing the
time she started her measurements. How many bacterial cells were there 2 h before she started
measuring?
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10.
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Solve for x. 
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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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For the function  , a) describe the transformations of the function
when compared to the function  b) sketch the graph of the given function and
 on the same set of axes c) state the domain, the range, and the equation of the
asymptote
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3.
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Write the equation for the function that results from each transformation or set
of transformations applied to the base function  . a) reflect in the
y-axis b) shift 3 units to the right c) shift 1 unit down and 4 units to
the left d) reflect in the x-axis and shift 2 units down
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Problem
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1.
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Jeff buys a new vehicle for $35 000. It is known that the vehicle will
depreciate by 20% of its current value every year.
a) Write an equation to relate the
depreciated value, V, of the vehicle to the age, t, in years, of the
vehicle.
b) Use the equation to determine the value of the vehicle 2 years after Jeff buys
it.
c) Approximately how long will it take the vehicle to depreciate to $3000?
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2.
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When interest is compounded semi-annually, the formula used to find the amount
of an investment is  , where A represents the amount; P represents
the principal invested; i represents the annual interest rate, as a decimal; and n
represents the number of years of the investment. a) Use the formula to determine the
amount that each investment would be worth. i) $5000 at a rate of 4%, compounded
semi-annually, for 10 years ii) $4000 at a rate of 5%, compounded semi-annually, for 20
years b) If interest is compounded quarterly, the formula becomes  . Use the
formula to determine the amount that the investments from part a) would be worth if interest were
compounded quarterly. c) Explain the difference in the answers for parts a) and b).
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