Absolute Value Functions Answers

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What are the domain and range of f(x) = 2|x – 4|?

A
domain: x 2; range:
Option A
B
domain: ; range: f(x) 0
Option B
C
domain: ; range: f(x) 0
Option C
D
domain: x 2; range:
Option D
3

Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

A
x = –1, x = 11
B
x = –1, x = –11
C
x = 14, x = –26
D
x = 26, x = –14
5

Which statement is true about f(x) = –6|x + 5| – 2?

T
The graph of f(x) is a horizontal compression of the graph of the parent function.
T
The graph of f(x) is a horizontal stretch of the graph of the parent function.
T
The graph of f(x) opens upward.
T
The graph of f(x) opens to the right.
6

What is the vertex of the absolute value function below?

Question illustration
(
(–3, –2)
(
(–3, 2)
(
(2, –3)
(
(2, 3)
7

What is the vertex of f(x) = |x + 8| – 3?

A
(–8, –3)
B
(–8, 3)
C
(8, –3)
D
(8, 3)

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