Question

Is the function g(x)=x^3-6x odd, even, or neither?

Answer 1

odd

Answer 2

Can you please explain? I'm not sure how to figure it out

Answer 3

for a function to be odd, f(-x)=-f(x)
-f(x)=-(x^3-6x)=-x^3+6x
f(-x)=(-x)^3-6(-x)=-x^3+6x
f(-x)=-f(x), odd

Answer 4

Oh, I see. Thank you

Answer 5

something like this