Deck 13: Exponential and Logarithmic Functions

Question 1

For the given functions f and g , find the indicated value.

A) 31
B) 286
C) -3
D) 320

Answer 1

320

Question 2

Determine whether the function is a one-to-one function.

A) Yes
B) No

Answer 2

No

Question 3

Determine whether the function is a one-to-one function.

A) Yes
B) No

Answer 3

No

Question 4

For the given functions f and g , find the indicated value.

A)
B)
C)
D)

Question 5

For the given functions f and g , find the indicated composition.

A) x
B) x + 16
C) 4x + 24
D) x - 2

Question 6

For the given functions f and g , find the indicated value.

A) 45
B) 280
C) 91
D) 43

Question 7

For the given functions f and g , find the indicated value.

A) 53
B) 203
C) 26
D) 46

Question 8

For the given functions f and g , find the indicated value.

A) 91
B)
C) 0
D) 43

Question 9

For the given functions f and g , find the indicated composition.

A)
B)
C)
D)

Question 10

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 11

Determine whether the function is a one-to-one function.
{(6, 9), (7, 9), (8, -4), (9, 9)}

A) Yes
B) No

Question 12

For the given functions f and g , find the indicated composition.

A)
B)
C)
D)

Question 13

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 14

For the given functions f and g , find the indicated composition.
f(x) = 8x + 5, g(x) = 2x - 1

A) 16x + 13
B) 16x + 4
C) 16x - 3
D) 16x + 9

Question 15

For the given functions f and g , find the indicated composition.
f(x) = -2x + 4, g(x) = 5x + 5

A) -10x + 25
B) -10x - 15
C) -10x + 14
D) 10x + 25

Question 16

For the given functions f and g , find the indicated composition.

A)
B)
C)
D)

Question 17

For the given functions f and g , find the indicated composition.

A)
B)
C)
D)

Question 18

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 19

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 20

Determine whether the function is a one-to-one function.
{(6, 6), (13, 7), (11, 8), (9, 9)}

A) Yes
B) No

Question 21

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 22

A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same
axes.

A)
B)
C)
D)

Question 23

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 24

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.

A)
B)
C) 3
D) not a one-to-one function

Question 25

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 26

For the given function, find the domain and range of both f(x) and f-1(x).
{(6, -11), (-1, -10), (-3, -9), (-5, -8)}

A)
B)
C)
D)

Question 27

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 28

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.

A)
B)
C)
D) not a one-to-one function

Question 29

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 30

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.

A)
B)
C)
D) not a one-to-one function

Question 31

For the given function, find the domain and range of both f(x) and f-1(x).

A)
B)
C)
D)

Question 32

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.

A)
B)
C)
D) not a one-to-one function

Question 33

A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same
axes.

A)
B)
C)
D)

Question 34

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 35

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.
f(x) = 4x

A)
B)
C)
D) not a one-to-one function

Question 36

A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same
axes.

A)
B) 0
C)
D)

Question 37

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.
f(x) = 6x + 6

A)
B)
C)
D) not a one-to-one function

Question 38

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.

A)
B)
C)
D) not a one-to-one function

Question 39

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.
f(x) = x3 + 6

A)
B)
C)
D) not a one-to-one function

Question 40

Determine whether the function is a one-to-one function.

A) Yes
B) No

Question 41

Graph the function.

A)
B)
C)
D)

Question 42

Solve the problem.
Austin invested $12,000 in an account at 11% compounded quarterly. Find the amount in Austin's account after a period of 3 years.

A) $4617.41
B) $16,172.66
C) $16,411.57
D) $16,617.41

Question 43

Graph the function.

A)
B)
C)
D)

Question 44

Graph the function.

A)
B)
C)
D)

Question 45

Graph the function.

A)
B)
C)
D)

Question 46

Graph the function.

A)
B)
C)
D)

Question 47

Graph the function.

A)
B)
C)
D)

Question 48

Determine whether the given functions are inverses of each other.

A) Yes
B) No

Question 49

Graph the function.

A)
B)
C)
D)

Question 50

Determine whether the given functions are inverses of each other.

A) Yes
B) No

Question 51

Determine whether the given functions are inverses of each other.
f(x) = 4x,

A) Yes
B) No

Question 52

Solve the problem.
Two bacteria are placed in a petri dish. The population will double every day. The formula for the number of bacteria in the dish on day t is where t is the number of days after the two bacteria are placed in the dish. How many bacteria are in the dish six
Days after the two bacteria are placed in the dish?

A) 128
B) 72
C) 10
D) 24

Question 53

Determine whether the given functions are inverses of each other.

A) Yes
B) No

Question 54

Graph the function.

A)
B)
C)
D)

Question 55

Determine whether the given functions are inverses of each other.

A) Yes
B) No

Question 56

A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same
axes.

A)
B)
C)
D)

Question 57

Determine whether the given functions are inverses of each other.

A) Yes
B) No

Question 58

Determine whether the given functions are inverses of each other.

A) Yes
B) No

Question 59

Determine whether the given functions are inverses of each other.

A) Yes
B) No

Question 60

Solve the problem.
The amount of a radioactive substance present, in grams, at time t in months is given by the formula y = 8000(2)-0.2t. Find the number of grams present in 3 years. If necessary, round to three decimal places.

A) 5278.032
B) 5.441
C) 527.803
D) 54.409

Question 61

Write the equation in exponential form.

A)
B)
C)
D)

Question 62

Solve the problem.
The function can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams,rounded to two decimal places, will
Be present after 7 hours?

A) 82.20 mg
B) 0.95 mg
C) 3.63 mg
D) 0.30 mg

Question 63

Write the equation in exponential form.

A)
B)
C)
D)

Question 64

Write the equation in logarithmic form.
9

A)
B)
C)
D)

Question 65

Write the equation in logarithmic form.

A)
B)
C)
D)

Question 66

Write the equation in exponential form.

A)
B)
C)
D)

Question 67

Write the equation in logarithmic form.

A)
B)
C)
D)

Question 68

Write the equation in logarithmic form.

A)
B)
C)
D)

Question 69

Solve the problem.
The value V of a car that is t years old can be modeled by . According to the model, what is the value, to the nearest dollar, of a 3 year old car?

A) $13,511
B) $11,214
C) $48,836
D) $4904

Question 70

Solve the problem.
The expected future population of a small town, which currently has 7900 residents, can be approximated by the formula where t is the number of years in the future. Find the expected population of the town 50 years in the future.

A) 0
B) 3792
C) 7900
D) 7

Question 71

Write the equation in exponential form.

A)
B)
C)
D)

Question 72

Write the equation in logarithmic form.

A)
B)
C)
D)

Question 73

Use the definition of a logarithm to find an equivalent equation.

A)
B)
C)
D)

Question 74

Write the equation in logarithmic form.

A)
B)
C)
D)

Question 75

Solve the problem.
A sample of 800 g of lead-210 decays to polonium-210 according to the function given by , where t is time in years. What is the amount of the sample, to the nearest gram, after 100 years?

A) 77 g
B) 24 g
C) 19,620 g
D) 33 g

Question 76

Write the equation in logarithmic form.

A)
B)
C)
D)

Question 77

Find the unknown value.

A) 6
B) 2
C) 3
D) 9

Question 78

Write the equation in exponential form.

A)
B)
C)
D)

Question 79

Write the equation in logarithmic form.

A)
B)
C)
D)

Question 80

Use the definition of a logarithm to find an equivalent equation.

A)
B)
C)
D)