please help with the following questions:

\fProblem 14. Definition. The zero function is the function defined by f (x) = 0, for all x in R. Give an example of each of the following, or provide an argument for why the request is impossible. (2) Two distinct even functions, none of which is the zero function, such that their product is an even function. (ii) Two distinct odd functions, none of which is the zero function, such that their product is an odd function. (2ii) An even function and an odd function such that their product is an even function. (iv) Two distinct functions p and q defined on R, none of which is the zero function, with the property that po q = qop