30 lines
972 B
Markdown
30 lines
972 B
Markdown
---
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title: Even and Odd Functions
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---
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## Even and Odd Functions
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### General Functions
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A function `f` is a mapping from a set A (input/domain) to an set B (output/co-domain). It can be of different types on the basis of a number of classifications.
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### Even Function:
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A function `f(x)` is even if and only if `f(x) = f(-x)`.
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An example of an even function would be `f(x) = x^2` because `f(2) = 2^2 = 4 = (-2)^2 = f(-2)`.
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The trigonometric functions - `cos(x)` and `sec(x)` are also even functions
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### Odd Function
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A function `f(x)` is even if and only if `f(x) = -f(-x)`
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An example of an odd function would be `f(x) = x^3` because `f(2) = 2^3 = 8 = -(-8) = -(-2)^3 = -f(-2)`.
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The trigonometric functions - `sin(x)`, `tan(x)`,`cot(x)` and `cosec(x)` are also even functions
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#### More Information:
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<!-- Please add any articles you think might be helpful to read before writing the article -->
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- [Wikipedia](https://en.wikipedia.org/wiki/Even_and_odd_functions)
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