What is Absolute Value Function? An absolute value function is a function in algebra where the variable is inside the absolute value bars. This function is also known as the modulus function and the most …

Jul 23, 2025 · An absolute value function is a function that takes the absolute value of the input. The absolute value of a number is its distance from zero on the number line, regardless of direction, …

The absolute value function of a real number returns its value irrespective of its sign, whereas the sign (or signum) function returns a number's sign irrespective of its value.

In this explainer, we will learn how to evaluate and graph absolute value functions and identify their domain and range. Recall that the absolute value of a real number is its distance from 0 on the …

This topic covers: - Solving absolute value equations - Graphing absolute value functions - Solving absolute value inequalities

This is the Absolute Value Function: f (x) = x. It is also sometimes written: abs (x). This is its graph: f (x) = x.

Dec 4, 2025 · The absolute value function assigns to each real number its distance from zero on the number line. This means that negative numbers are mapped to their positive counterparts, while …

Sep 6, 2025 · This section examines absolute value functions, focusing on their definition, properties, and graphing. It explains how to solve absolute value equations and inequalities and interpret their …

The absolute value function is explored through definitions, examples and exercises with solutions at the bottom of the page. The graphing of absolute value functions |f (x)| is discussed through examples.

Nov 13, 2021 · The absolute value function f (x) = |a| can be expressed as a piecewise function, where f (x) = a when a ≥ 0, and f (x) = -a when a < 0. We can use this to help us visualize, graph, or solve other …