Even and odd functions: Difference between revisions

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Let ''f''(''x'') be a [[real number|real]]-valued function of a real variable. Then ''f'' is '''even''' if the following equation holds for all real ''x'':
 
:''f''(−-''x'') = ''f''(''x'')
 
Geometrically, an even function is [[symmetry|symmetric]] with respect to the ''y''-axis.