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Fixed typos (#34312)

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Fixed copy/pasting(?) typos, also changed the 'because' in each example to explain the why instead of just showing it's true for a single number, not mentioning any others. (Proof by example is very, very, VERY bad to encourage.)
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Alexander Molnar
2018-11-13 02:22:54 -05:00
committed by Aman Mittal
parent 0250b385f0
commit 0791616e85
1 changed files with 5 additions and 5 deletions
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10
guide/english/mathematics/even-and-odd-functions/index.md
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@ -5,23 +5,23 @@ title: Even and Odd Functions
### General Functions
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.
A function `f` is a mapping from a set A (input/domain) to a set B (output/co-domain).
### Even Function:
A function `f(x)` is even if and only if `f(x) = f(-x)`.
An example of an even function would be `f(x) = x^2` because `f(2) = 2^2 = 4 = (-2)^2 = f(-2)`.
An example of an even function would be `f(x) = x^2` because `(-x)^2 = x^2`. For example, `f(2) = 2^2 = 4 = (-2)^2 = f(-2)`.
The trigonometric functions - `cos(x)` and `sec(x)` are also even functions
### Odd Function
A function `f(x)` is even if and only if `f(x) = -f(-x)`
A function `f(x)` is odd if and only if `f(x) = -f(-x)`
An example of an odd function would be `f(x) = x^3` because `f(2) = 2^3 = 8 = -(-8) = -(-2)^3 = -f(-2)`.
An example of an odd function would be `f(x) = x^3` because `(-x)^3 = -x^3`, so `-(-x)^3 = x^3`. For example, `f(2) = 2^3 = 8 = -(-8) = -(-2)^3 = -f(-2)`.
The trigonometric functions - `sin(x)`, `tan(x)`,`cot(x)` and `cosec(x)` are also even functions
The trigonometric functions - `sin(x)`, `tan(x)`,`cot(x)` and `cosec(x)` are also odd functions
#### More Information:
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