Question

Which equation represents an Absolute Value Function?

A) f(x) = C, where C is a number
B) f(x) = x
C) f(x) = x²
D) f(x) = √x

Answer 1

The equation that represents an Absolute Value Function is f(x) = |x|. The absolute value function outputs the magnitude of a real number.

Step-by-step explanation:

The equation that represents an Absolute Value Function is f(x) = |x|. The absolute value function is a piecewise function that outputs the magnitude of a real number. It can be represented as a V-shaped graph on the coordinate plane. The function returns positive values for positive inputs and negative values for negative inputs. The options provided in the question don't match the form of an absolute value function except for option B, which represents a quadratic function.