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, …

Generalisations of the absolute value for real numbers occur in a wide variety of mathematical settings. For example, an absolute value is also defined for the complex numbers, the quaternions, ordered …

Jan 2, 2021 · The absolute value function is commonly thought of as providing the distance the number is from zero on a number line. Algebraically, for whatever the input value is, the output is the value …

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 …

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.

We'll approach these types of problems from a function standpoint and use the interplay between the graphical and analytical representations of these functions to obtain solutions. The key to this section …

Oct 21, 2025 · The absolute value function represents the non-negative distance of a number from zero. The function returns x if x is zero or positive, and –x if x is negative. Its "V"-shaped graph, which has …

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 …