Question

How do you find out if the function is even or odd or neither? f(x)=x^4-20x^2

Answer 1

\[f(-x)=(-x)^4-20(-x)^2=x^4-20x^2\]

Answer 2

if it is a polynomial it is easy.
even: all even exponents
odd: all odd exponents
any mix : neither

Answer 3

zarkon is checking by the definition which is the correct way to do it and necessary if you do not have a polynomial

Answer 4

Okay what about cubed roots