Hey guys, I was hoping for some help on a problem. I havent dont this kind of stuff in 6/7 years. Here it is...
A function f(x) is defined as even if f(−x) = f(x) for all x. A function f(x) is defined as odd if f(−x) = −f(x) for all x. Prove, using other than geometrical arguments, the following properties of even and odd functions:
(a) The product of two even functions is even.
(b) The product of an even and an odd function is odd.
(c) The product of two odd functions is even.