PLEASE I NEED HELPPPPP.. i have many exercises like that, just want to know where to start thanks.

f(x)= x^3+2x^2-x-2 / x^2+x-6

find:
1. domain
2. symmetry or not
3. determine if f(x)is: a)in lowest trem b)proper/improper
4. x-intercepts, y-intercepts
5. zeros of f(x) and their multiplicity
6. vertical asymptotes
7. ablique/horizontal asymtotes