Which characteristic is correct for the function f(x) = −2x^3 + 3x^2 ?

a. even

b. neither even nor odd

c. odd

d. both even and odd

B

Step-by-step explanation:

The function is cubic (the highest power is 3), so it can't be even.  It's either odd or neither.

We can either graph the function, or we can test that it's symmetrical about the origin by seeing if f(x) = -f(-x).

f(x) = -2x³ + 3x²

f(-x) = -2(-x)³ + 3(-x)²

f(-x) = 2x³ + 3x²

f(x) ≠ -f(-x), so the function is neither even nor odd.

true? is that what you're asking or do you mean something else?

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step-by-step explanation: