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===Multiplication and division===
* The [[multiplication|product]] and [[Division (mathematics)|quotient]] of two even functions is an even function.
** ThatThis implies that the product of any number of even functions is analso even function as well.
** TheThis productimplies ofthat twothe odd[[reciprocal functionsfunction|reciprocal]] isof an even function is also even.
* The product ofand anquotient evenof function and antwo odd functionfunctions is an oddeven function.
* The [[Divisionproduct (mathematics)|quotient]]and both quotients of twoan even functionsfunction and an odd function is an evenodd function.
** TheThis quotientimplies ofthat twothe oddreciprocal functions isof an evenodd function is odd.
* The quotient of an even function and an odd function is an odd function.
===Composition===
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