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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

Which characteristic is correct for the function fx 2x3 3x2 A even B neither even nor odd C odd Dboth even and odd class=

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MathPhys

Answer:

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.

mlm567

The answer is B because if you add the negative sign it will change

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