State whether each of the following is an odd function, an even function, or neither. Prove your

Question:

State whether each of the following is an odd function, an even function, or neither. Prove your statements.
(a) The sum of two even functions
(b) The sum of two odd functions
(c) The product of two even functions
(d) The product of two odd functions
(e) The product of an even function and an odd function