Absolute Value Functions Answers
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1
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Which statement is true about f(x) = –6|x + 5| – 2?
A
The graph of f(x) is a horizontal compression of the graph of the parent function.B
The graph of f(x) is a horizontal stretch of the graph of the parent function.C
The graph of f(x) opens upward.D
The graph of f(x) opens to the right.2
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Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?
A
x = –1, x = 11B
x = –1, x = –11C
x = 14, x = –26D
x = 26, x = –143
What are the domain and range of f(x) = 2|x – 4|?
A
domain: x 2; range:
B
domain: ; range: f(x) 0
C
domain: ; range: f(x) 0
D
domain: x 2; range:
4
Which of the following is the graph of translated 2 units right, 2 units up, and dilated by a factor of ?
A
Option
B
Option
C
Option
D
Option
5
Which of the following is the parent function of all absolute value functions?
A
f(x) = 3xB
f(x) = |x|C
f(x) = 2|x|D
Option
6
Which of the following is the value of a when the function is written in the standard form of an absolute value function?
A
–1B
–3C
1D
37
The standard form of an absolute value function is . Which of the following represents the vertex?
A
Option
B
Option
C
Option
D
Option
8
Which function has a vertex at (2, 6)?
A
f(x) = 2|x – 2| – 6B
f(x) = 2|x – 2| + 6C
f(x) = 2|x + 2| + 6D
f(x) = 2|x + 2| – 69
What is the vertex of f(x) = |x + 8| – 3?
A
(–8, –3)B
(–8, 3)C
(8, –3)D
(8, 3)10
What is the range of the absolute value function below?
A
f(x) –4
B
f(x) –1
C
f(x) 1
D
f(x) 4
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