Question

There are 4 odd functions and 3 even functions in the gallery of the 12 basic functions. After multiplying these functions together pairwise in different combinations and exploring their graphs, make a conjecture about the summetry of: A) a product of 2 odd functions ( in other words is their product even, odd, or neither) B) a product of 2 even functions C) a product of an odd and even function

Answer 1

Remember the definitions:

even: f(-x) = f(x)
odd: f(-x) = -f(x)

check your answers with some simple monomials, such as x^2 and x^3