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odd function

A function whose graph has pinwheel symmetry through the origin — $f(-x)=-f(x)$ .

A function $f$ is odd if $f(-x)=-f(x)$ for every $x$ in its domain, so its graph is symmetric about the origin — a $180°$ rotation maps it onto itself. Sums of only-odd-power terms are odd.

Examples

$f(x)=x^3$ is odd — $f(-2)=-8=-f(2)$ .