# R nach R/Gerade und Ungerade Funktion/Definition/en

Zur Navigation springen Zur Suche springen

A function

${\displaystyle f\colon \mathbb {R} \longrightarrow \mathbb {R} }$
is called even, if for all ${\displaystyle {}x\in \mathbb {R} }$ the equality
${\displaystyle f(x)=f(-x)}$
holds. A function
${\displaystyle f\colon \mathbb {R} \longrightarrow \mathbb {R} }$
is called odd, if for all ${\displaystyle {}x\in \mathbb {R} }$ the equality
${\displaystyle f(x)=-f(-x)}$
holds.