Absolute Value Functions

Question 1

What is the vertex of the absolute value function below?

Revolt · Accepted Answer

(–3, 2)

Question 2

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 3

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

Revolt · Accepted Answer

f(x) = 2|x – 2| + 6

Question 4

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

Revolt · Accepted Answer

f(x) =

Question 5

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

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/3111-11-01/mc016-4.jpg

Question 6

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

Revolt · Accepted Answer

mc002-5.jpg

Question 7

What is the range of the absolute value function below?

Revolt · Accepted Answer

f(x) 1

Question 8

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 9

Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?

Revolt · Accepted Answer

x = –1, x = –11

Question 10

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

Revolt · Accepted Answer

(–8, –3)

Absolute Value Functions Answers

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