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QuizMultiple Choice

Absolute Value Functions and Translations — Quiz

Question 1 • Mathematics II

Over which interval is the graph of the parent absolute value function f of x is equal to absolute value of x decreasing?

Answer
A
open paren negative 6 comma 0 close paren
B
open paren negative infinity comma infinity close paren
C
open paren negative infinity comma 0 close paren
D
open paren 0 comma infinity close paren

Explanation

For x values less than 0, f(x) = |x| = -x. As x increases toward 0, the function’s value decreases toward 0, so the graph is decreasing on the interval from negative infinity to 0. The correct choice is “open paren negative infinity comma 0 close paren.”

AI-written and checked against the verified answer.

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