This cheat sheet covers the high school math concept – Modulus.


This concept is one of the important ones under Calculus. The function is denoted by |x|. It is also known as the Absolute Value function is sometimes denoted by abs(x). This function will be one of the most important tools in your high-school math toolbox. It will find its way in almost every domain – algebratrigonometrycalculus and coordinate geometry. So, learn to use it well and keep it handy.

There is a separate cheat sheet on this website that specifically covers the graphs of the absolute value of a given function (or |f(x)|). You can download it here. An understanding of these graph transformations is a must to solve many advanced problems in almost every domain of high-school math – be it algebratrigonometrycalculus, or coordinate geometry.

This one page PDF covers summarised theory and the most important formulas related to the concept. Keep it handy while you’re revising the concept, especially before an exam.

The topics included in this cheat sheet are:

  • Definition
  • Properties of the Modulus Function
  • Derivative of the Modulus Function
  • Integral of the Modulus Function
  • Equations and Inequations involving the Modulus Function
  • Graph of the Modulus Function

Here is the download link:

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