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

Unit 2 Part 2 TEST: Graphs and Functions Answers

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21
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Which of the following represents the solution to the inequality ?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
[–2, 7]
D
[1.5, 7.5]
22
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What is the vertex of f(x) = |x + 8| – 3?

A
(–8, –3)
B
(–8, 3)
C
(8, –3)
D
(8, 3)
23

The piecewise defined function f(x) is graphed below. What is the value of f(2)?

Question illustration
f
f(2) = –2
f
f(2) = –1
f
f(2) = 4
f
f(2) is undefined
24

What is the vertex of the absolute value function below?

Question illustration
(
(–3, –2)
(
(–3, 2)
(
(2, –3)
(
(2, 3)
25

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

Question illustration
A
f(x) = 3x
B
f(x) = |x|
C
f(x) = 2|x|
D
Option
Option D
26

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. Which function could represent this situation?

A
f(x ) = x – |42.67|
B
f(x ) = |x| – 42.67
C
f(x ) = |42.67 – x|
D
f(x ) = 42.67 – |x|
27

A company manufactures 16-oz boxes of cereal. Boxes are randomly weighted to ensure the correct amount. If the discrepancy in weight is more than 0.15 oz, the production is stopped. What is the range of acceptable values for production to continue?

A
15.15 oz to 16.00 oz
B
15.85 oz to 16.00 oz
C
15.85 oz to 16.15 oz
D
16.15 oz to 16.45 oz
28

What is the domain of the function graphed below?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
29

The equation of the piecewise defined function f(x) is below. What is the value of f(1)?

Question illustration
A
f(1) = –2
B
f(1) = –1
C
f(1) = 2
D
f(1) = 3
30

Which piecewise relation defines a function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
31

What is the vertex of the absolute value function below?

Question illustration
A
(4, –1)
B
(1, –4)
C
(1, 4)
D
(4, 1)
32

Which statement is true about ?

Question illustration
A
The graph of f(x) has a vertex of (–4, 6).
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) has a domain of x –6.
Option D
33

Which of the following accurately shows the range of the function defined below?

Question illustration
A
Option
Option A
B
Option
Option B
C
[3, 6]
D
Option
Option D
34

What is the vertex of the absolute value function below?

Question illustration
A
(–3, –2)
B
(–3, 2)
C
(2, –3)
D
(2, 3)
35

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
36

A country is considering two income tax rates. Geoffrey is comparing what his tax bill would be under each plan. Under plan A, he pays 5% on the first $10,000. The next $85,000 is taxed at a rate of 10%. Any money earned above $95,000 is taxed at 15%. He made $98,000 last year. Which statement below is correct? Plan A Tax Rates x $10,0005%$10,000 x $95,00010%x > $95,00015%Plan B Tax RatesAll levels of income 10%

Question illustration
A
He would pay approximately $350 more under plan B.
B
He would pay approximately $1,925 more under plan B.
C
He would pay approximately $5,700 more under plan A.
D
He would pay approximately $4,900 more under plan A.
37

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
38

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
39

The piecewise defined function f(x) is graphed below. What is the value of f(5)?

Question illustration
A
f(5) = –1
B
f(5) = 3
C
f(5) = 5
D
f(5) is undefined
40

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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