Deck 5: Inverse, Exponential, and Logarithmic Functions

Question 1

Determine whether or not the function is one-to-one.

A) Yes
B) No

Answer 1

A

Question 2

Determine whether or not the function is one-to-one.

A) No
B) Yes

Answer 2

B

Question 3

Determine whether or not the function is one-to-one.

A) No
B) Yes

Answer 3

B

Question 4

Decide whether the given functions are inverses.

A) No
B) Yes

Question 5

Determine whether or not the function is one-to-one.

A) Yes
B) No

Question 6

Determine whether or not the function is one-to-one.

A) No
B) Yes

Question 7

Determine whether or not the function is one-to-one.

A) No
B) Yes

Question 8

Determine whether or not the function is one-to-one.

A) Yes
B) No

Question 9

Determine whether or not the function is one-to-one.

A) No
B) Yes

Question 10

Determine whether or not the function is one-to-one.

A)No
B) Yes

Question 11

Determine whether or not the function is one-to-one.

A) No
B) Yes

Question 12

Determine whether or not the function is one-to-one.

A) No
B) Yes

Question 13

Decide whether the given functions are inverses.

A) Yes
B) No

Question 14

Determine whether or not the function is one-to-one.

A) No
B) Yes

Question 15

Determine whether or not the function is one-to-one.

A) Yes
B) No

Question 16

Determine whether or not the function is one-to-one.

A) Yes
B) No

Question 17

Determine whether or not the function is one-to-one.

A) No
B) Yes

Question 18

Determine whether or not the function is one-to-one.

A) Yes
B) No

Question 19

Determine whether or not the function is one-to-one.

A) Yes
B) No

Question 20

Determine whether or not the function is one-to-one.

A) Yes
B) No

Question 21

Decide whether the given functions are inverses.

A) No
B) Yes

Question 22

Decide whether the pair of functions graphed are inverses.

A) Yes
B) No

Question 23

Decide whether the given functions are inverses.

A) No
B) Yes

Question 24

Use the definition of inverses to determine whether f and g are inverses.

A) Yes
B) No

Question 25

Use the definition of inverses to determine whether f and g are inverses.

A) No
B) Yes

Question 26

Use the definition of inverses to determine whether f and g are inverses.

A) No
B) Yes

Question 27

Decide whether the given functions are inverses.

A) No
B) Yes

Question 28

Use the definition of inverses to determine whether f and g are inverses.

A) Yes
B) No

Question 29

Decide whether the given functions are inverses.

A) No
B) Yes

Question 30

Decide whether the given functions are inverses.

A) Yes
B) No

Question 31

Decide whether the pair of functions graphed are inverses.

A) No
B) Yes

Question 32

Use the definition of inverses to determine whether f and g are inverses.

A) Yes
B) No

Question 33

Decide whether the pair of functions graphed are inverses.

A) No
B) Yes

Question 34

Use the definition of inverses to determine whether f and g are inverses.

A) Yes
B) No

Question 35

Decide whether the pair of functions graphed are inverses.

A) No
B) Yes

Question 36

Decide whether the pair of functions graphed are inverses.

A) No
B) Yes

Question 37

Use the definition of inverses to determine whether f and g are inverses.

A) No
B) Yes

Question 38

Decide whether the given functions are inverses.

A) No
B) Yes

Question 39

Use the definition of inverses to determine whether f and g are inverses.

A) Yes
B) No

Question 40

Decide whether the given functions are inverses.

A) No
B) Yes

Question 41

An everyday activity is described. Keeping in mind that an inverse operation "undoes" what an operation does, describe
each inverse activity.
waking up

A) closing the eyes
B) falling asleep
C) getting up
D) going to bed

Question 42

If the function is one-to-one, find its inverse. If not, write "not one-to-one."

Question 43

If the function is one-to-one, find its inverse. If not, write "not one-to-one."

Question 44

If the function is one-to-one, find its inverse. If not, write "not one-to-one."

Question 45

If the function is one-to-one, find its inverse. If not, write "not one-to-one."

Question 46

If the function is one-to-one, find its inverse. If not, write "not one-to-one."

Question 47

If the function is one-to-one, find its inverse. If not, write "not one-to-one."

Question 48

If the function is one-to-one, find its inverse. If not, write "not one-to-one."

Question 49

If the function is one-to-one, find its inverse. If not, write "not one-to-one."

Question 50

If the function is one-to-one, find its inverse. If not, write "not one-to-one."

Question 51

An everyday activity is described. Keeping in mind that an inverse operation "undoes" what an operation does, describe
each inverse activity.
opening a door

A) closing the door
B) locking the door
C) opening the window
D) going out of the door

Question 52

If the function is one-to-one, find its inverse. If not, write "not one-to-one."
{(-2, 4), (2, -4), (8, -2), (-8, 2)}

A) not one-to-one
B) {(4, -2), (-4, 2), (-2, -8), (2, 8)}
C) {(4, -2), (-4, 2), (8, -2), (2, -8)}
D) {(4, -2), (-4, 2), (-2, 8), (2, -8)}

Question 53

An everyday activity is described. Keeping in mind that an inverse operation "undoes" what an operation does, describe
each inverse activity.
setting a clock forward by one hour

A) moving your schedule backward by one hour
B) leaving the clock as it is
C) setting the clock forward by two hours
D) setting the clock backward by one hour

Question 54

If the function is one-to-one, find its inverse. If not, write "not one-to-one."
{(3, -5), (5, -3), (9, 2), (-9, -2)} 49)

A) {(-2, 9), (9, 5), (-5, 3), (2, -9)}
B) {(-5, 3), (-3, 5), (2, 9), (-2, -9)}
C) not one-to-one
D) {(-2, 9), (-3, 5), (-5, 5), (2, -9)}

Question 55

If the function is one-to-one, find its inverse. If not, write "not one-to-one."
{(6, -7), (11, -6), (9, -5), (7, -4)}

A) {(7, 6), (6, 11), (-5, 9), (-4, 7)}
B) {(6, -7), (11, -6), (9, -5), (7, -4)}
C) {(-7, 6), (-6, 11), (-5, 9), (-4, 7)}
D) not one-to-one

Question 56

If the function is one-to-one, find its inverse. If not, write "not one-to-one."
{(-3, -4), (-2, -4), (-1, 3), (0, 8)}

A) {(-4, -3), (8, 3), (-1, -2)}
B) {(-4, -3), (-2, 3), (-1, 8)}
C) {(-3, 8), (-3, 3), (-1, -2)}
D) not one-to-one

Question 57

If the function is one-to-one, find its inverse. If not, write "not one-to-one."
{(13, -6), (-5, 5), (6, -20)}

A) not one-to-one
B) {(13, 5), (13, -5), (-20, 6)}
C) {(-6, 13), (5, -5), (-20, 6)}
D) {(-6, 13), (6, -5), (-20, 5)}

Question 58

Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function
is one-to-one. If the function is one-to-one, give the equation of the inverse function.

Question 59

If the function is one-to-one, find its inverse. If not, write "not one-to-one."
{(4, 5), (7, 5), (1, 4)}

A) not one-to-one
B) {(4, 5), (5, 7), (4, 1)}
C) {(5, 4), (1, 7), (4, 5)}
D) {(5, 4), (5, 7), (4, 1)}

Question 60

If the function is one-to-one, find its inverse. If not, write "not one-to-one."

Question 61

Find the domain and range of the inverse of the given function.

Question 62

For the function as defined that is one-to-one, graph f and on the same axes.

Question 63

Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function
is one-to-one. If the function is one-to-one, give the equation of the inverse function.

Question 64

Find the domain and range of the inverse of the given function.

Question 65

Find the domain and range of the inverse of the given function.

Question 66

For the function as defined that is one-to-one, graph f and on the same axes.

Question 67

Find the domain and range of the inverse of the given function.

Question 68

Use the graph of f to sketch a graph of the inverse of f using a dashed curve.

Question 69

Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function
is one-to-one. If the function is one-to-one, give the equation of the inverse function.

Question 70

Find the domain and range of the inverse of the given function.

Question 71

Find the domain and range of the inverse of the given function.

Question 72

For the function as defined that is one-to-one, graph f and on the same axes.

Question 73

Use the graph of f to sketch a graph of the inverse of f using a dashed curve.

Question 74

Find the domain and range of the inverse of the given function.

Question 75

Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function
is one-to-one. If the function is one-to-one, give the equation of the inverse function.

Question 76

For the function as defined that is one-to-one, graph f and on the same axes.

Question 77

For the function as defined that is one-to-one, graph f and on the same axes.

Question 78

For the function as defined that is one-to-one, graph f and on the same axes.

Question 79

Find the domain and range of the inverse of the given function.

Question 80

Use the graph of f to sketch a graph of the inverse of f using a dashed curve.