Linear functions/translation of graphs

[TMNT]

The question is

Graph f(x)=X^3-3x. Does it have any high or low points? What about symmetry?

Okay the problem I'm having is what formula to use with a ^3 on the X, my previous 2 problems I did by using the quad formula, those questions were f(x)= 2x^4+4x^2-1, and f(x)= 16x^2+4x-3 respectively.

 

[HallsofIvy]

f(x)= x^3- 3x= x(x^2- 3). What values of x makes f(x)= 0? What happens between those values of x?

 

[Gauged]

What about symmetry?

f(x) = f(-x)?

f(-x) = -f(x)?