ahgan3j

2021-11-19

What are the even Functions and Odd Functions?
Let f(x) is a function.
IF $f\left(-x\right)=f\left(x\right)$, then f(x) is called even function.

Befoodly

Step 1
If $f\left(-x\right)=-f\left(x\right)$, then f(x) is called odd function.
Even functions are always symmetric about the y-axis and the odd functions are symmetric about the origin.
Step 2
For example:
Even function:
$f\left(x\right)={x}^{2}$
$g\left(x\right)={x}^{6}+3{x}^{2}+7$
etc
Odd function:
$f\left(x\right)=5x$
$g\left(x\right)=-{x}^{3}+3x$
etc

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