Answers2627 ALGEBRA II ASymmetry

Absolute Value Functions Answers

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What is the domain of the absolute value function below?

Question illustration
A
x –4
Option A
B
x 2
Option B
C
Option
Option C
D
Option
Option D
2
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Given the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7?

A
x = –24, x = 16
B
x = –16, x = 24
C
x = –1, x = 9
D
x = 1, x = –9
3

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
4

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

A
(–8, –3)
B
(–8, 3)
C
(8, –3)
D
(8, 3)
5

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
6

What is the vertex of the absolute value function below?

Question illustration
A
(–3, –2)
B
(–3, 2)
C
(2, –3)
D
(2, 3)
7

What is the range of the absolute value function below?

Question illustration
A
f(x) –4
Option A
B
f(x) –1
Option B
C
f(x) 1
Option C
D
f(x) 4
Option D
8

Which of the following is the graph of translated 2 units right, 2 units up, and dilated by a factor of ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which of the following is the parent function of all absolute value functions?

A
f(x) = 3x
B
f(x) = |x|
C
f(x) = 2|x|
D
Option
Option D
10

The standard form of an absolute value function is . Which of the following represents the vertex?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Which of the following is the value of a when the function is written in the standard form of an absolute value function?

Question illustration
A
–1
B
–3
C
1
D
3
12

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.
13

Which of the following is the graph of f(x) = –0.5|x + 3| –2?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

Which function has a vertex at (2, 6)?

A
f(x) = 2|x – 2| – 6
B
f(x) = 2|x – 2| + 6
C
f(x) = 2|x + 2| + 6
D
f(x) = 2|x + 2| – 6
15

The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. What is the range of acceptable values?

A
42.668 mm to 42.670 mm
B
42.668 mm to 42.672 mm
C
42.670 mm to 42.672 mm
D
42.670 mm to 42.674 mm
16

Which function is a translation of the parent absolute value function?

A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) =
Option C
D
f(x) =
Option D

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