Graphical Representation of an Even Function

In the graphical representation of an even function, the curve is always symmetric about Y-axis. In other words, the value of f(x) remains constant irrespective of the sign on x (positive or negative). Few examples of graph of even functions are given below:

Even Function

Even function is defined as a function that follows the relation f(-x) equals f(x), where x is any real number. Even functions have the same range for positive and negative domain variables. Due to this, the graph of even functions is always symmetric about the Y-axis in cartesian coordinates.

In this article, we will learn about even functions, their examples, properties, graphical representation of even functions, some solved examples, and practice questions related to even functions.

Table of Content

  • What is an Even Function?
  • Graphical Representation of an Even Function
  • Properties of an Even Function
  • Even Function and Odd Function Difference

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What is an Even Function?

Even Function is a function that has the same output for a corresponding input with different signs, i.e. positive or negative. It can be said that the output of an even function depends only upon the absolute value of the input variable....

Graphical Representation of an Even Function

In the graphical representation of an even function, the curve is always symmetric about Y-axis. In other words, the value of f(x) remains constant irrespective of the sign on x (positive or negative). Few examples of graph of even functions are given below:...

Properties of an Even Function

Even Functions holds the following properties:...

Even Function and Odd Function Difference

The difference between even and odd functions is illustrated as follow:...

Solved Examples on Even Function

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Practice Questions on Even Functions

Question 1: Check whether following functions are even or not:...

Even Function: Frequently Asked Questions

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