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

Mathematics

2 answers:

Grace [21]3 years ago

5 0

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

galina1969 [7]3 years ago

3 0

Answer:

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.

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