Deck 4: Exponential and Logarithmic Functions

Question 1

Evaluate the expression using the values given in the table.

- $( \mathrm { f\circ g })( 3 )$
$\begin{array}{c|r|r|r|r}\mathrm{x} & 1 & 7 & 10 & 12 \\\hline \mathrm{f}(\mathrm{x}) & -2 & 10 & 0 & 12\end{array}$

$\begin{array}{c|r|r|r|r}\mathrm{x} & -5 & -2 & 1 & 3 \\\hline \mathrm{g}(\mathrm{x}) & 1 & -7 & 7 & 10\end{array}$

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

Answer 1

0

Question 2

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

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 value.

Question 6

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

Question 7

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

Question 8

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

Question 9

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

Question 10

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

Question 11

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

Question 12

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

Question 13

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

Question 14

Evaluate the expression using the values given in the table.

- $( \mathrm { g \circ f ) }( 1 )$

$\begin{array}{c|r|r|r|r}x & 1 & 6 & 10 & 12 \\\hline f(x) & -2 & 10 & 3 & 12\end{array}$

$\begin{array}{c|r|r|r|r}\mathrm{x} & -5 & -2 & 1 & 3 \\\hline \mathrm{g}(\mathrm{x}) & 1 & -5 & 6 & 10\end{array}$

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

Question 15

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

Question 16

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

Question 17

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

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 ° g = H.

Question 22

Find functions f and g so that f ° g = H.

Question 23

Find functions f and g so that f ° g = H.

Question 24

Decide whether the composite functions, f ° g and g ° f, are equal to x.

Question 25

Decide whether the composite functions, f ° g and g ° f, are equal to x.

Question 26

Decide whether the composite functions, f ° g and g ° f, are equal to x.

Question 27

Decide whether the composite functions, f ° g and g ° f, are equal to x.

Question 28

Find functions f and g so that f ° g = H.

Question 29

Find functions f and g so that f ° g = H.

Question 30

Decide whether the composite functions, f ° g and g ° f, are equal to x.

Question 31

Find functions f and g so that f ° g = H.

Question 32

Find functions f and g so that f ° g = H.

Question 33

Find functions f and g so that f ° g = H.

Question 34

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 P(x) = 3x2 + 2 and s(a) = 2a + 5, what is the relationship between the predator mammal
And the plant food source?

Question 35

Decide whether the composite functions, f ° g and g ° f, are equal to x.

Question 36

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

Question 37

Decide whether the composite functions, f ° g and g ° f, are equal to x.

Question 38

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 39

Decide whether the composite functions, f ° g and g ° f, are equal to x.

Question 40

Find functions f and g so that f ° g = H.

Question 41

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 42

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 43

Write the word or phrase that best completes each statement or answers the question.

Question 44

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 45

Choose the one alternative that best completes the statement or answers the question.
Indicate whether the function is one-to-one.
{(12, -18), (-12, -18), (20, -8)}

A) Yes
B) No

Question 46

Write the word or phrase that best completes each statement or answers the question.

Question 47

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 48

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 49

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 50

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 51

Choose the one alternative that best completes the statement or answers the question.
Indicate whether the function is one-to-one.

Question 52

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.

Question 53

Solve the problem.

Question 54

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 55

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 56

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 57

Write the word or phrase that best completes each statement or answers the question.

Question 58

Choose the one alternative that best completes the statement or answers the question.
Find the domain of the composite function f ° g.

Question 59

Write the word or phrase that best completes each statement or answers the question.

Question 60

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.

A) R(x) = (125 - x)(350 + 20x) or 43,750 + 2,150x - 20x2
B) R(x) = 125(350 + 20x) or 43,750 + 2,500x
C) R(x) = x(350 + 20x) or 350x + 20x2
D) R(x) = (125 - x)(350 + 20x) or 43,750 + 2,500x - 20x2

Question 61

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

A) No
B) Yes

Question 62

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

Question 63

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

Question 64

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

A) No
B) Yes

Question 65

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

A) No
B) Yes

Question 66

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 67

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

A) No
B) Yes

Question 68

Choose the one alternative that best completes the statement or answers the question.
Indicate whether the function is one-to-one.
{(7, -3), (3, -7), (-2, 9), (2, -9)}

A) No
B) Yes

Question 69

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

Question 70

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

A) No
B) Yes

Question 71

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 72

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

A) Yes
B) No

Question 73

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 74

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

Question 75

Choose the one alternative that best completes the statement or answers the question.
Indicate whether the function is one-to-one.
{(6, -6), (12, -5), (10, -4), (8, -3)}

A) No
B) Yes

Question 76

Choose the one alternative that best completes the statement or answers the question.
Indicate whether the function is one-to-one.
{(5, 4), (6, 4), (7, 3), (8, -9)}

A) Yes
B) No

Question 77

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

Question 78

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

Question 79

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 80

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.