---
tag: 0FP31SX5EA
kind: concept
name: Even and odd functions
msc: [26A09]
sources:
  - url: https://en.wikipedia.org/wiki/Even_and_odd_functions
    locator: lead section
same_as:
  wikidata: Q126592
  wikipedia: Even and odd functions
---

## Summary

A function is even when $f(-x) = f(x)$ and odd when $f(-x) = -f(x)$ for all $x$. Even functions have graphs symmetric about the vertical axis, and odd functions have graphs symmetric about the origin. The node [[even and odd functions|0XE690QF65]] gives the precise definition.