Answer: (C) even
Step-by-step 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.
