Even Function Properties: An even function satisfies the condition f(x) = f(-x).
Odd Function Properties: An odd function satisfies the condition f(x) = -f(-x).
Sum of Even Functions: The sum of even functions is always an even function.
Product of Even and Odd Functions:
Even * Even = Even
Even * Odd = Odd
Odd * Odd = Even
Sum of Even and Odd Functions: The sum of an even and an odd function is neither even nor odd, unless the terms cancel out.