Deck 4: Exponential and Logarithmic Functions

Question 1

Evaluate the expression using the graphs of y = f(x) and y = g(x).
Evaluate (fg)(-1).

A) 0
B) -2
C) 3
D) -1

Answer 1

B

Question 2

Evaluate the expression using the values given in the table.

A) 10
B) -2
C) 6
D) -5

Answer 2

D

Question 3

For the given functions f and g, find the requested composite function value.

Answer 3

D

Question 4

For the given functions f and g, find the requested composite function.

Question 5

For the given functions f and g, find the requested composite function.

Question 6

For the given functions f and g, find the requested composite function.

A) x
B) 2x + 10
C) x - 5
D) x + 20

Question 7

For the given functions f and g, find the requested composite function value.

A) 25
B) 360
C) 31
D) 625

Question 8

For the given functions f and g, find the requested composite function value.

Question 9

For the given functions f and g, find the requested composite function value.

Question 10

For the given functions f and g, find the requested composite function value.

Question 11

For the given functions f and g, find the requested composite function.

Question 12

For the given functions f and g, find the requested composite function.
f(x) = -2x + 3, g(x) = 6x + 4; Find (g °f)(x).

A) -12x + 22
B) -12x + 11
C) -12x - 14
D) 12x + 22

Question 13

For the given functions f and g, find the requested composite function value.

Question 14

For the given functions f and g, find the requested composite function.

Question 15

Evaluate the expression using the values given in the table.

A) Undefined
B) 10
C) 7
D) 0

Question 16

For the given functions f and g, find the requested composite function.
f(x) = 5x + 10, g(x) = 5x - 1; Find (f °g)(x).

A) 25x + 9
B) 25x + 15
C) 25x + 49
D) 25x + 5

Question 17

For the given functions f and g, find the requested composite function.

Question 18

For the given functions f and g, find the requested composite function value.

Question 19

For the given functions f and g, find the requested composite function value.

Question 20

For the given functions f and g, find the requested composite function value.

Question 21

Find functions f and g so that f

Question 22

Decide whether the composite functions, f nd f, are equal to x.

A) Yes, no
B) No, no
C) Yes, yes
D) No, yes

Question 23

Solve the problem.
An oil well off the Gulf Coast is leaking, with the leak spreading oil over the surface of the gulf as a circle. At any time t, in minutes, after the beginning of the leak, the radius of the oil slick on the surface is r(t) = 3t ft. Find
The area A of the oil slick as a function of time.

Question 24

Find functions f and g so that f

Question 25

Decide whether the composite functions, f nd f, are equal to x.

A) No, yes
B) No, no
C) Yes, yes
D) Yes, no

Question 26

Decide whether the composite functions, f nd f, are equal to x.

A) Yes, yes
B) No, yes
C) No, no
D) Yes, no

Question 27

Decide whether the composite functions, f nd f, are equal to x.

A) Yes, yes
B) No, yes
C) Yes, no
D) No, no

Question 28

Find functions f and g so that f

Question 29

For the given functions f and g, find the requested composite function.

Question 30

Find functions f and g so that f

Question 31

Find functions f and g so that f

Question 32

Find functions f and g so that f

Question 33

Solve the problem.
The population P of a predator mammal depends upon the number x of a smaller animal that is its primary food source. The population s of the smaller animal depends upon the amount a of a certain plant that is its
Primary food source. If and s(a) = 2a + 5, what is the relationship between the predator mammal
And the plant food source?

Question 34

Decide whether the composite functions, f nd f, are equal to x.

A) Yes, yes
B) Yes, no
C) No, no
D) No, yes

Question 35

Decide whether the composite functions, f nd f, are equal to x.

A) No, no
B) Yes, yes
C) Yes, no
D) No, yes

Question 36

Find functions f and g so that f

Question 37

Decide whether the composite functions, f nd f, are equal to x.

A) No, no
B) No, yes
C) Yes, no
D) Yes, yes

Question 38

Find functions f and g so that f

Question 39

Decide whether the composite functions, f nd f, are equal to x.

A) No, yes
B) No, no
C) Yes, yes
D) Yes, no

Question 40

Find functions f and g so that f

Question 41

Solve the problem.

Question 42

Find the domain of the composite function f

Question 43

Find the domain of the composite function f

Question 44

Find the domain of the composite function f

Question 45

Find the domain of the composite function f

Question 46

Find the domain of the composite function f

Question 47

Solve the problem.

Question 48

Find the domain of the composite function f

Question 49

Solve the problem.

Question 50

Find the domain of the composite function f

Question 51

Find the domain of the composite function f

Question 52

Find the domain of the composite function f

Question 53

Find the domain of the composite function f

Question 54

Solve the problem.

Question 55

Find the domain of the composite function f

Question 56

Solve the problem.

Question 57

Indicate whether the function is one-to-one.
{(12, -18), (-12, -18), (20, -8)}

A) Yes
B) No

Question 58

Solve the problem.

Question 59

Solve the problem.
An airline charter service charges a fare per person of $350 plus $20 for each unsold seat. The airplane holds 125 passengers. Let x represent the number of unsold seats and write an expression for the total revenue R for a
Charter flight.

Question 60

Indicate whether the function is one-to-one.
{(3, -12), (7, 4), (12, -8)}

A) Yes
B) No

Question 61

The graph of a one-to-one function f is given. Draw the graph of the inverse function f-1 as a dashed line or curve.

Question 62

Use the horizontal line test to determine whether the function is one-to-one.

A) No
B) Yes

Question 63

Use the horizontal line test to determine whether the function is one-to-one.

A) No
B) Yes

Question 64

Find the inverse of the function and state its domain and range .

Question 65

Use the horizontal line test to determine whether the function is one-to-one.

A) No
B) Yes

Question 66

Use the horizontal line test to determine whether the function is one-to-one.

A) Yes
B) No

Question 67

The graph of a one-to-one function f is given. Draw the graph of the inverse function f-1 as a dashed line or curve.

Question 68

Find the inverse. Determine whether the inverse represents a function.

Question 69

The graph of a one-to-one function f is given. Draw the graph of the inverse function f-1 as a dashed line or curve.

Question 70

Find the inverse of the function and state its domain and range .

Question 71

Decide whether or not the functions are inverses of each other.

A) Yes
B) No

Question 72

Use the graph of the given one-to-one function to sketch the graph of the inverse function. For convenience, the graph of
y = x is also given.

Question 73

The graph of a one-to-one function f is given. Draw the graph of the inverse function f-1 as a dashed line or curve.

Question 74

Indicate whether the function is one-to-one.
{(6, -6), (12, -5), (10, -4), (8, -3)}

A) No
B) Yes

Question 75

Indicate whether the function is one-to-one.
{(5, 4), (6, 4), (7, 3), (8, -9)}

A) Yes
B) No

Question 76

Use the horizontal line test to determine whether the function is one-to-one.

A) No
B) Yes

Question 77

Use the horizontal line test to determine whether the function is one-to-one.

A) No
B) Yes

Question 78

Decide whether or not the functions are inverses of each other.

A) No
B) Yes

Question 79

Indicate whether the function is one-to-one.
{(7, -3), (3, -7), (-2, 9), (2, -9)}

A) No
B) Yes

Question 80

Find the inverse of the function and state its domain and range .