In mathematics, the modulus of a real number x is given by the modulus function, denoted by |x|. It gives the non-negative value of x. The modulus or absolute value of a number is also considered as the distance of the number from the origin or zero.

May 8, 2024 · The modulus function is denoted as y = |x| or f(x) = |x|, where f: R→ [0, ∞) and x ∈ R. In this article we will explore modulus function, modulus function formula domain and range of modulus function, modulus function graph, modulus function properties.

What Is the Modulus Function? The modulus of a given number describes the magnitude of the number. Modulus Function is defined as the real-valued function, say f: R -> R, where y = |x| for each x ∈ R OR f(x) = |x|. This function can be defined using the modulus operation as follows:

Dec 24, 2024 · How do I sketch the graph of the modulus of a function: y = |f(x)|? STEP 1 Pencil in the graph of y = f(x) STEP 2 Reflect anything below the x -axis, in the x -axis, to get y = |f(x)|

Feb 10, 2024 · How to integrate the modulus functions ? To integrate a modulus function (|g (x)|), we need to consider the different cases where the argument of the modulus is positive and where it’s negative. So, we break into three cases- Case-1. If g (x) ≥ 0 for all x in an interval [a, b], then $$ \int_a^b |g (x)|\,dx=\int_a^b g (x)\,dx $$ . Case-2.

The modulo function represents the remainder that results from dividing two different positive numbers. For example, 7 modulo 2 is 1 because the division of 7 by 2 has a quotient of 3, leaving a remainder of 1.

Jan 27, 2025 · Learn how to solve modulus equations for your A level maths exam. This revision note covers the key strategies and worked examples.

Nov 29, 2024 · Learn about sketching the graphs of modulus functions for your A level maths exam. This revision note covers the key concepts and worked examples.

The modulus function only gives a positive value of any variable or a number as the output. It is also known as the absolute value function because it gives a non-negative value for any independent variable, no matter if it is positive or negative.

A complete series of lectures on modulus functions with selected solved examples