An odd function is a function of a form [tex]y=x^n[/tex] where n is an odd number.
Some examples would be functions:
[tex]y=x,y=x^3,\dots[/tex].
A formal definition of odd function is the following.
(Algebraic proof).
Let [tex]f:\mathbb{R}\to\mathbb{R}[/tex] (real function).
The function is odd if the below equation is true for all x and -x for which the function is defined:
[tex]f(x)=-f(-x)[/tex].
Hope this helps.
