Absolute Value Functions

Question 1

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

Revolt · Accepted Answer

The graph of f(x) is a horizontal compression of the graph of the parent function.

Question 2

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

Revolt · Accepted Answer

(–8, –3)

Question 3

What is the vertex of the absolute value function below?

Revolt · Accepted Answer

(–3, 2)

Question 4

Given the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7?

Revolt · Accepted Answer

x = –16, x = 24

Question 5

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?

Revolt · Accepted Answer

42.668 mm to 42.672 mm

Question 6

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

Revolt · Accepted Answer

3

Question 7

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

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-11-01/mc018-5.jpg

Question 8

What is the domain of the absolute value function below?

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-11-01/mc010-5.jpg

Question 9

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

Revolt · Accepted Answer

f(x) = 2|x – 2| + 6

Question 10

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

Revolt · Accepted Answer

f(x) = |x|

Absolute Value Functions Answers

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