Even and odd functions for JEE

Formula

\[f\text{ even}\iff f(-x)=f(x),\qquad f\text{ odd}\iff f(-x)=-f(x)\]

Variables: \(x\) belongs to a domain symmetric about origin.

Conditions: Domain should be symmetric with respect to \(0\).

Graph symmetry, simplification of expressions, continuity and differentiability checks.