Even and odd functions: Difference between revisions

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"sym w.r.t. rotation about origin"..._any_ rotation??, under this wording, only unions of origin-centered circles are symmetric, not really cat:set theory
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:''f''(−''x'') = −''f''(''x'')
 
Geometrically, an odd function is symmetric with respect to the [[origin]], meaning that its [[graph of a function|graph]] remains unchanged after [[rotationcoordinate (mathematics)rotation|rotation]] of 180 degrees about the origin.
 
The designation '''odd''' is due to the fact that the Taylor series of an odd function includes only odd powers.