The function which is both
even and odd is the constant function which is identically zero. The sum of two
odd functions is odd, and any constant multiple of an odd function is odd. The
product of an even function and an odd function is an odd function. The
quotient of an even function and an odd function is an odd function. The
derivative of an even function is odd. The composition of two even functions is
even, and the composition of two odd functions is odd. The composition of an
even function and an odd function is even. The answer is letter A.
