Answers2627 ALGEBRA II AFunction Operations

Function Operations Answers

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1
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f(x) has domain , and range .

A
{–4, –2, 0, 2, 4}
B
{–2, –1, 0, 1, 2}
2
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f(x) has domain , and range .

A
{–4, –2, 0, 2, 4}
B
{–2, –1, 0, 1, 2}
3

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Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
5

Which ordered pair is on the inverse of f(x)?

A
(–4, –2)
B
(–2, –2)
C
(–1, –2)
7

Which graphs are inverses of one another?

A
Graph A and B
B
Graph A and C
C
Graph B and C
D
none of the graphs shown
11

Identify the inverse g(x) of the given relation f(x).f(x) = {(8, 3), (4, 1), (0, –1), (–4, –3)}

A
g(x) = {(–4, –3), (0, –1), (4, 1), (8, 3)}
B
g(x) = {(–8, –3), (–4, 1), (0, 1), (4, 3)}
C
g(x) = {(8, –3), (4, –1), (0, 1), (–4, 3)}
D
g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}
12

The range of the inverse of f(x) is .

A
{–4, –2, –1, 0, 1, 2, 4}
B
{–4, –2, 0, 2, 4}
C
{–2, –1, 0, 1, 2}
13

Choose a true statement.

A
g(x) is not a function because f(x) is not a function.
B
g(x) is not a function because f(x) is not one-to-one.
C
g(x) is a function because f(x) is one-to-one.
D
g(x) is a function because f(x) is not one-to-one.
14

Compare your response to the sample response above. What did you include in your explanation?

A
that Danika needs to find g compose f
B
that g(f(x)) must also equal x
C
that g(f(x)) = –x
15

Check all that apply.

A
F is a function.
B
F is a one-to-one function.
C
C is a function.
D
C is a one-to-one function.

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