Graph each of the functions with a graphing utility. Determine whether each function is even, odd, or neither.
f(x) = x2 − x4 ........................... g(x) = 2x3 + 1
h(x) = x5 − 2x3 + x ................. j(x) = 2 − x6 − x8
k(x) = x5 − 2x4 + x − 2 .... p(x) = x9 + 3x5 − x3 + x
What do you notice about the equations of functions that are odd? What do you notice about the equations of functions that are even? Can you describe a way to identify a function as odd or even by inspecting the equation? Can you describe a way to identify a function as neither odd nor even by inspecting the equation?