Question

Which statement best describes how to determine whether f(x) = x4 – x3 is an even function?

Answer 1

Definition: (yay, i love definitions)
if f(-x) = f(x), then f is even.
if f (-x) = -1*f(x) , then f is odd

Answer 2

for all x in the domain

Answer 3

thanks

Answer 4

so plug in
f(-x) = (-x)^4 - (-x)^3

Answer 5

f(-x) = (-x)^4 - (-x)^3
= x^4 - (-x)^3
= x^4 + x^3

this is neither f(x) , nor is it -f(x)