Question

Which of the following is the absolute value parent function?

A. f(x) = x²
B. f(x) = |x|
C. f(x) = 1/x
D. f(x) = |x| + 1

Answer 1

Option B, f(x) = |x|, is the correct absolute value parent function, which represents the distance from zero on the number line.

Step-by-step explanation:

The correct option for the absolute value parent function is B. f(x) = |x|. The absolute value parent function is the simplest form of the absolute value functions, which graphically represents a V-shape and is defined by the distance from zero on the number line. For any real number, the absolute value function outputs a non-negative value. Options A, C, and D are not the absolute value parent function; A is a quadratic function, C is a reciprocal function, and D is a vertical translation of the absolute value function.