Deck 5: Inverse, Exponential, and Logarithmic Functions

Question 1

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

A) No
B) Yes

Answer 1

B

Question 2

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

A) Yes
B) No

Answer 2

B

Question 3

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

A) Yes
B) No

Answer 3

B

Question 4

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

A) Yes
B) No

Question 5

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

A) No
B) Yes

Question 6

Decide whether the given functions are inverses.

A) No
B) Yes

Question 7

Decide whether the given functions are inverses.

A) Yes
B) No

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) Yes
B) No

Question 10

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

A) Yes
B) No

Question 11

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

A) Yes
B) No

Question 12

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

A) Yes
B) No

Question 13

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

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) No
B) Yes

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) No
B) Yes

Question 19

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

A) No
B) Yes

Question 20

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

A) Yes
B) No

Question 21

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

A) Yes
B) No

Question 22

Decide whether the given functions are inverses.

A) No
B) Yes

Question 23

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

A) No
B) Yes

Question 24

Decide whether the given functions are inverses.

A) No
B) Yes

Question 25

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

A) No
B) Yes

Question 26

Decide whether the pair of functions graphed are inverses.

A) Yes
B) No

Question 27

Decide whether the given functions are inverses.

A) Yes
B) No

Question 28

Decide whether the given functions are inverses.

A) No
B) Yes

Question 29

Decide whether the given functions are inverses.

A) Yes
B) No

Question 30

Decide whether the pair of functions graphed are inverses.

A) Yes
B) No

Question 31

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

A) Yes
B) No

Question 32

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

A) No
B) Yes

Question 33

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

A) No
B) Yes

Question 34

Decide whether the pair of functions graphed are inverses.

A) No
B) Yes

Question 35

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

A) No
B) Yes

Question 36

Decide whether the given functions are inverses.

A) No
B) Yes

Question 37

Decide whether the pair of functions graphed are inverses.

A) No
B) Yes

Question 38

Decide whether the pair of functions graphed are inverses.

A) No
B) Yes

Question 39

Decide whether the given functions are inverses.

A) No
B) Yes

Question 40

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

A) No
B) Yes

Question 41

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

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

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

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

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

Question 52

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

Question 53

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

Question 54

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

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

Question 55

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

Question 56

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 57

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

Question 58

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

Question 59

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) opening the window
C) locking the door
D) going out of the door

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

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 63

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

Question 64

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

Question 65

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

Question 66

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

Question 67

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

Question 68

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

Question 69

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

Question 70

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

Question 71

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 72

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

Question 73

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

Question 74

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

Question 75

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

Question 76

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

Question 77

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 78

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

Question 79

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

Question 80

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