Hello!

Could someone elaborate on what the difference is between f(x), f(-x), and -f(x)

Lets use the equation...

$\displaystyle f(x)=5x^3$

so if x=3 then f(x)=(5)(27)=135

and if x=-3 then f(x)=(5)(-27)=-135

what is -f(x) in this scenario? (when x=3)

is it simply $\displaystyle -f(x)=-(5x^3)$ or $\displaystyle -f(x)=-(5\cdot27)$ ?