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Even and odd functions
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===Multiplication and division=== * The [[multiplication|product]] and [[Division (mathematics)|quotient]] of two even functions is an even function. ** This implies that the product of any number of even functions is also even. ** This implies that the [[reciprocal function|reciprocal]] of an even function is also even. * The product and quotient of two odd functions is an even function. * The product and both quotients of an even function and an odd function is an odd function. ** This implies that the reciprocal of an odd function is odd.
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