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* The [[multiplication|product]] of two even functions is an even function.
** That implies that product of any number of even functions is an even function as well.
* The product of two same odd functions is an even function.
* The product of two different odd functions is an odd function.
* The product of an even function and an odd function is an odd function.
* The [[Division (mathematics)|quotient]] of two even functions is an even function.
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