Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Which characteristic is correct for the function?

Answer 1

Answer: (C) even

Explanation:

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

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

f(x) = -2x⁴ + 3x²

f(-x) = -2(-x)⁴ + 3(-x)²

= -2x⁴ + 3x²

f(x) = f(-x) so the function is even

-f(x) = -(-2x⁴ + 3x²)

= 2x⁴ - 3x²

f(-x) ≠ -f(x) so the function is not odd.