Even and odd functions: Difference between revisions

Revision as of 02:15, 23 January 2024

Revision as of 02:21, 23 January 2024

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Even functions are those real functions whose [[graph of a function|graph]] is [[symmetry (geometry)|self-symmetric]] with respect to the {{nowrap|{{mvar|y}}-axis,}} and odd functions are those whose graph is self-symmetric with respect to the [[origin (mathematics)|origin]].

If the ___domain of a real function is self-symmetric with respect to the originmorigin, then the function can be uniquely decomposed as the sum of an even function and an odd function.

==Definition and examples==