Question

which functions have graphs that are symmetrical with respect to the y-axis . A)odd. B)Both odd & even. c)neither. D) even

Answer 1

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.