Qualitative graph for a function of $x^{3}$. I have this function:
$$f(x)=\frac{x(x^2-3)}{x^3-3x-3}$$
I need to draw its graph. I've tried with a classic study of a function but it cames out a mess. Any idea to simplify the study for draw the graph? Thank you.

HINT
Note that
$$f(x)=\frac{x(x^2-3)}{x^3-3x-3}=f(x)=\frac{x^3-3x}{x^3-3x-3}=f(x)=1+\frac{3}{x^3-3x-3}$$
For a first sketch


*

*determine domain

*find the value for some "special" and/or "simple" point as x=0,1,etc.

*find the value for which denominator = 0 (and thus vertical asymptothes)

*find limit at $\pm \infty$


Then for a complete study we need use derivatives.
