Question

1. which function represents the absolute value parent function?

$f(x) = |x|$
$f(x) = -x$
$f(x) = x$
$f(x) = -|x|$

Explanation:

The absolute value parent function is defined as \( f(x) = |x| \), which gives the non - negative value of \( x \). The function \( f(x)=-x \) is a linear function with a slope of - 1, \( f(x) = x \) is a linear function with a slope of 1, and \( f(x)=-|x| \) is a transformation (reflection) of the absolute value parent function. So the function that represents the absolute value parent function is \( f(x)=|x| \).

Answer:

A. \( f(x)=|x| \)