Which statement best describes how to determine wether f(x)=x^4-x^3 is an even function?

option 1: determine whether   (-x)^4 - (-x)^3 is equivalent to f(x)=x^4-x^3

step-by-step explanation:

first of all we will define the even function:

an even function is a function in which

f(-x) = f(x)

theoretically, putting -x in place of x gives the same original function.

so, for the given function:

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

f(-x) = (-x)^4 - (-x)^3 should be equal to the original function f(x)=x^4-x^3

hence, option 1 is correct ..

ok

step-by-step explanation: