Deck 4: Exponential and Logarithmic Functions

Question 1

Graph the function.

A)
B)
C)
D)

Answer 1

Question 2

Find the function value.
Let f(x) = . Find f(-1).

A)
B)
C) 1
D) -4

Answer 2

Question 3

Find the function value.
Let f(x) = . Find f(3).

A) 18
B) 729
C) 46,656
D) 216

Answer 3

216

Question 4

Find the function value.
Let f(x) = . Find f(-1).

A)
B) 4
C)
D) -4

Question 5

Evaluate the exponential expression.

A) 9
B) 3
C)
D) 27

Question 6

Use a graph or a table to find the limit.

A)
B) 100
C) 1
D)

Question 7

Graph the function.

A)
B)
C)
D)

Question 8

Use a graph or a table to find the limit.

A)
B) 10
C)
D) 0

Question 9

Find the function value.
Let f(x) = Find f(3).

A)
B) -8
C)
D) 16

Question 10

Graph the function.

A)
B)
C)
D)

Question 11

Evaluate the exponential expression.

A) -25
B)
C) 25
D)

Question 12

Graph the function.

A)
B)
C)
D)

Question 13

Graph the function.

A)
B)
C)
D)

Question 14

Use a graph or a table to find the limit.

A) 100
B)
C) 0
D)

Question 15

Graph the function.

A)
B)
C)
D)

Question 16

Find the function value.
Let f(x) = . Find f(2).

A) 9
B)
C)
D)

Question 17

Graph the function.

A)
B)
C)
D)

Question 18

Evaluate the exponential expression.

A) 1
B) 0
C) -9
D) -1

Question 19

Graph the function.

A)
B)
C)
D)

Question 20

Graph the function.

A)
B)
C)
D)

Question 21

Find the value of x.

A) 5
B) -6
C) -5
D) 6

Question 22

Fill in the missing coordinate in each ordered pair so that the pair is a solution to the given equation.

A)
B)
C)
D)

Question 23

Find the value of x.
= 1296

A) -5
B) 5
C) 4
D) -4

Question 24

Solve the problem. When needed, use 365 days per year and 30 days per month.
An initial investment of $1000 is appreciated for 7 years in an account that earns 11% interest, compounded annually. Find the amount of money in the account at the end of the period.

A) $2304.54
B) $1076.16
C) $2076.16
D) $1870.41

Question 25

Solve the equation.

A) {4}
B)
C)
D) {-4}

Question 26

Solve the problem. When needed, use 365 days per year and 30 days per month.
An initial investment of $1000 is appreciated for 5 years in an account that earns 12% interest, compounded semiannually. Find the amount of money in the account at the end of the period.

A) $1762.34
B) $790.85
C) $1689.48
D) $1790.85

Question 27

Solve the equation.

A) {5}
B) {3}
C) {-4}
D) {4}

Question 28

Solve the problem.
The amount of particulate matter left in solution during a filtering process is given by the equation where n is the number of filtering steps. Find the amounts left for n = 0 and n = 5. (Round to the nearest whole number.)

A) 300; 9
B) 300; 19
C) 600; 19
D) 300; 4800

Question 29

Solve the equation.

A)
B) {-3}
C)
D) {3}

Question 30

Solve the problem. When needed, use 365 days per year and 30 days per month.
What principal invested at 8% compounded continuously for 4 years will yield $1190? Round the answer to two decimal places.

A) $864.12
B) $1188.62
C) $627.48
D) $1638.78

Question 31

Solve the problem. When needed, use 365 days per year and 30 days per month.
An initial investment of $480 is appreciated for 9 years in an account that earns 18% interest, compounded quarterly. Find the amount of money in the account at the end of the period.

A) $2129.02
B) $2240.33
C) $2341.14
D) $1861.14

Question 32

Solve the problem. When needed, use 365 days per year and 30 days per month.
An initial investment of $12,000 is appreciated for 5 years in an account that earns 4% interest, compounded quarterly. Find the amount of money in the account at the end of the period.

A) $14,599.83
B) $2642.28
C) $14,642.28
D) $14,497.31

Question 33

Write the equation of the graph in its final position.
The graph of y = is translated 9 units to the right, reflected in the y-axis, and then translated 4 units downward.

A)
B)
C)
D)

Question 34

Solve the problem. When needed, use 365 days per year and 30 days per month.
An initial investment of $480 is appreciated for 8 years in an account that earns 2% interest, compounded continuously. Find the amount of money in the account at the end of the period.

A) $616.33
B) $1820.96
C) $26,207.11
D) $563.29

Question 35

Solve the equation.

A) {4}
B)
C) {-4}
D)

Question 36

Solve the equation.

A) {8}
B)
C) {-3}
D) {3}

Question 37

Write the equation of the graph in its final position.
The graph of y = is translated 7 units to the right and then 3 units upward.

A)
B)
C)
D)

Question 38

Solve the equation.

A) {3}
B)
C)
D) {-3}

Question 39

Solve the problem. When needed, use 365 days per year and 30 days per month.
An initial investment of $14,000 is appreciated for 3 years in an account that earns 14% interest, compounded semiannually. Find the amount of money in the account at the end of the period.

A) $19,635.72
B) $21,010.22
C) $7010.22
D) $20,741.62

Question 40

Fill in the missing coordinate in each ordered pair so that the pair is a solution to the given equation.

A)
B)
C)
D)

Question 41

Find the value of the logarithmic function.
log(0.001)

A) -2
B) -3
C) 0
D) 3

Question 42

Find the value of the logarithmic function.

A)
B)
C)
D)

Question 43

Solve the problem.
The number of dislocated electric impulses per cubic inch in a transformer when lightning strikes is given by , where x is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at x = 0 and x = 3.

A) 7100; 85,200
B) 7100; 454,400
C) 7100; 1,817,600
D) 28,400; 454,400

Question 44

Find the value of the logarithmic function.

A) -49
B) 3
C) 49
D) -3

Question 45

Determine the number that can be used in place of the question mark to make the equation true.

A) 2
B)
C) No solution
D) -2

Question 46

Solve the problem.
The number of bacteria growing in an incubation culture increases with time according to where x is time in days. Find the number of bacteria when x = 0 and x = 4.

A) 2000; 6,250,000
B) 2000; 40,000
C) 10,000; 1,250,000
D) 2000; 1,250,000

Question 47

Graph the function.

A)
B)
C)
D)

Question 48

Determine the number that can be used in place of the question mark to make the equation true.

A)
B) -4
C) 3
D) 4

Question 49

Find the value of the logarithmic function.

A) -1
B) 1
C) 0
D) 4

Question 50

Find the value of the logarithmic function.
ln(1)

A) 0
B) -1
C) 1
D) e

Question 51

Graph the function.

A)
B)
C)
D)

Question 52

Find the value of the logarithmic function.

A) e ln(-3)
B) 1
C)
D) -3

Question 53

Find the value of the logarithmic function.

A) 3 ln(4)
B) 4
C)
D) -4

Question 54

Solve the problem.
The decay of 517 mg of a radioactive substance is given by where t is time in years. Find the amount left after 77 years.

A) 44
B) 43
C) 501
D) 22

Question 55

Graph the function.

A)
B)
C)
D)

Question 56

Find the value of the logarithmic function.

A) -8
B) -2
C) 8
D) 2

Question 57

Solve the problem.
The growth in the population of a certain rodent at a dump site fits the exponential function where t is the number of years since 1962. Estimate the population in the year 2000.

A) 764
B) 1527
C) 1558
D) 728

Question 58

Graph the function.

A)
B)
C)
D)

Question 59

Graph the function.

A)
B)
C)
D)

Question 60

Solve the problem.
The sales of a mature product (one which has passed its peak) will decline by the function where t is time in years. Find the sales after 4 years if a (Round to the nearest whole number.)

A) 54,975
B) 7797
C) 31,402
D) 15,594

Question 61

Write the equation of the graph in its final position.
The graph of y = ln(x) is translated 2 units to the right, reflected in the x-axis, and then translated 7 units downward.

A) y = ln(-x + 7) - 7
B) y = ln(x - 2) + 7
C) y = -ln(x - 2) - 7
D) y = ln(x + 2) + 7

Question 62

Write the equation as an equivalent logarithmic equation.

A)
B)
C)
D)

Question 63

Use a graph or a table to find the limit.

A)
B) 1
C) 10
D)

Question 64

Write the equation as an equivalent exponential equation.
= 4

A)
B)
C)
D)

Question 65

Write the equation as an equivalent logarithmic equation.

A)
B)
C)
D)

Question 66

Write the equation as an equivalent exponential equation.
ln(x) = -9

A)
B)
C)
D) ln(-9) = x

Question 67

Graph the function.

A)
B)
C)
D)

Question 68

Write the equation as an equivalent exponential equation.

A)
B)
C)
D)

Question 69

Use a graph or a table to find the limit.

A)
B)
C) -1
D) 0

Question 70

Write the equation as an equivalent logarithmic equation.

A)
B)
C)
D)

Question 71

Write the equation of the graph in its final position.
The graph of y = ln(x) is translated 3 units to the right and then 9 units upward.

A) y = ln(x + 9) + 3
B) y = ln(x + 3) + 9
C) y = ln(x - 9) + 3
D) y = ln(x - 3) + 9

Question 72

Find the domain of the function.
f(x) =

A)
B)
C)
D)

Question 73

Find the domain of the function.

A)
B)
C)
D)

Question 74

Write the equation as an equivalent exponential equation.
= 0

A)
B)
C)
D)

Question 75

Graph the function.

A)
B)
C)
D)

Question 76

Find the domain of the function.

A)
B)
C)
D)

Question 77

Graph the function.

A)
B)
C)
D)

Question 78

Find the domain of the function.

A)
B)
C)
D)

Question 79

Find the domain of the function.

A)
B)
C)
D)

Question 80

Graph the function.

A)
B)
C)
D)