Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Which answer describes the function f(x) = 2x^3 - x^2?

Answer 1

Answer: B. neither

Explanation:

A function is even when f(x) = f(-x).

A function is odd when f(-x) = -f(x).

f(x) = 2x³ - x²

f(-x) = 2(-x)³ - (-x)²

= -2x³ - x²

f(x) = 2x³ - x² ≠ f(-x) = -2x³ - x² so it is NOT EVEN

-f(x) = -(2x³ - x²)

= -2x³ + x²

f(-x) = -2x³ - x² ≠ -f(x)= -2x³ + x² so it is NOT ODD

Therefore, it is NEITHER even nor odd.