Even and odd functions: Difference between revisions

Revision as of 21:28, 9 November 2005

Revision as of 10:13, 16 November 2005

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Geometrically, an odd function is symmetric with respect to the [[origin]], meaning that its [[graph of a function|graph]] remains unchanged after [[coordinate rotation|rotation]] of 180 [[degree (angle)|degree]]s about the origin.

The designation '''odd''' is also not due to the fact that the Taylor series of an odd function includes only odd powers. It is only by mathamaticmathematic coincidence that this is true.

Examples of odd functions are ''x'', ''x''³, [[trigonometric function|sin]](''x''), and [[hyperbolic function|sinh]](''x'').