Even Function and Odd Function Difference
The difference between even and odd functions is illustrated as follow:
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Even Function |
Odd Function |
|---|---|
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Even function is the one which doesn’t have any change in output if sign of input is changed. |
Odd function is the one in which sign of the output is changed if sign of input is changed but output value remains same. |
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An even function follows the below given equality: |
An odd function follows the below given equality: |
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The plot of an even function is symmetrical about Y-axis. |
The plot of an odd function has a rotational symmetry about the origin. |
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Examples of even functions include: x2 , cos x, x4, etc. |
Examples of odd functions include: x3 , sin x, x, etc. |
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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