Even and odd functions: Difference between revisions

Revision as of 17:58, 16 September 2005

Revision as of 08:44, 7 October 2005

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Geometrically, an even function is [[symmetry|symmetric]] with respect to the ''y''-axis, meaning that its [[graph of a function|graph]] remains unchanged after [[reflection (mathematics)|reflection]] about the ''y''-axis.

The designation '''even''' is due to the fact that the [[Taylor series]] of an even function includes only even powers.

Examples of even functions are [[absolute value|| ''x'' |]], ''x''², ''x''⁴, [[trigonometric function|cos]](''x''), and [[hyperbolic function|cosh]](''x'').