Which answer describes the function f(x)=2x^3−x^2?

Question

1. even

2. odd

3. neither

Answer 1

So, let's find f(2), f(-2), and -f(2).

 

f(2) = 2(2³) - 2² = 2(8) - 4 = 16 - 4 = 12

f(-2) = 2(-2³) - (-2²) = 2(-8) - 4 = -16 - 4 = -20

 

Not even.

 

-f(2) = -12

 

Not odd.

 

Neither.