AnswersTN-Algebra II B SC 26-27 For CreditPiecewise Defined Functions

Absolute Value Functions Answers

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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
2
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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
3

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
4

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
5

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
6

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
7

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
8

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

A
(–8, –3)
B
(–8, 3)
C
(8, –3)
D
(8, 3)
9

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

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