only function which is both even and odd is the constant function which is identically zero (i.e., f(x) = 0 for all x).The sum of an even and odd function is neither even nor odd, unless one of the functions is identically zero.The sum of two even functions is even, and any constant multiple of an even function is even.The sum of two odd functions is odd, and any constant multiple of an odd function is odd.The product of two even functions is an even function.The product of two odd functions is an even function.The product of an even function and an odd function is an odd function.The quotient of two even functions is an even function.The quotient of two odd functions is an even function.The quotient of an even function and an odd function is an odd function.The derivative of an even function is odd.The derivative of an odd function is even.The composition of two even functions is even, and the composition of two odd functions is odd.The composition of an even function and