Definition:Odd Function

Definition

Let $X \subset \R$ be a symmetric set, i.e. $x \in X \iff -x \in X$.

A real function $f: X \to \R$ is said to be odd if and only if:

$f \left({-x}\right) = -f \left({x}\right)$

holds for all $x \in X$.

Also see

• Even Function

• Results about odd functions can be found here.