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 commonly used form of the absolute value function is f(x) = |x|, where x is a real number.

The absolute value function is commonly used to measure distances between points. Applied problems, such as ranges of possible values, can also be solved using the absolute value function. The graph of the absolute value function resembles a letter V. It has a corner point at which the graph changes direction.

The absolute value function does just that. It transforms any number into its non-negative counterpart, simplifying complex mathematical concepts and making them accessible. In this article, you’ll explore the fascinating world of absolute values through engaging examples.

Jan 31, 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, meaning it is always a non-negative value. The general form of an absolute value function is: f(x) = ∣x∣. Where: f(x) is the output of the function, x is ...

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.

May 17, 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 positive numbers remain unchanged, since distance is always non-negative.

Use the absolute value function to express the range of possible values of the actual resistance. 5% of 680 ohms is 34 ohms. The absolute value of the difference between the actual and nominal resistance should not exceed the stated variability, so, with the resistance R R in ohms, Students who score within 20 points of 80 will pass a test.

Graphs of Absolute Value Functions and their Symmetry While Theorem 1.4 and its proof are specific to the particular family of absolute value functions, there are ideas here that apply to all functions.

The absolute value function, denoted as |x|, is a mathematical function that gives the distance of a number from zero on the number line. It returns the non-negative value of a given input regardless of its sign.

May 2, 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 …