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, …

Discover the absolute value function, its mathematical significance, real-life applications, and how it simplifies equations and distance calculations.

Jan 2, 2021 · Recall that in its basic form f (x) = | x |, the absolute value function, is one of our toolkit functions. The absolute value function is commonly thought of as providing the distance the number …

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.

Oct 21, 2025 · Explore the concept of absolute value function with detailed explanations, examples, and problem-solving techniques. Ideal for students and teachers.

In general, if x ≥ 0, the absolute value function does nothing to change the input, so | x | = x. On the other hand, if x < 0, say x = 1, x = 42 or x = 117.42, we get | 1 | = 1, | 42 | = 42 and | 117.42 | = 117.42.

Dec 4, 2025 · To find this interval, we solve: x 2 1 <0 → 1 <x <1. So, the function y = x 2 1 is negative on the open interval (1, 1), and the graph dips below the x-axis in that region. To graph the function f (x) …

Jul 23, 2025 · Absolute value equations play a critical role in mathematics, providing solutions to problems involving distance and magnitude without regard to direction. This article explores the …

In this section, we will investigate absolute value functions. Recall that in its basic form f (x) = | x |, the absolute value function, is one of our toolkit functions. The absolute value function is commonly …