so for math, my teacher asked us to graph it, so i was given this

f(x) = X^2 - 1/ x - 1

f(x)=X+1 / x^2 -2x- 3

f(x) = x^2 + 2x / x + 1

and i was asked to sketch it with the vertical aysmtopes, and x-int and y -int. so i know most of it , but i dunno for some of these equation do u always factor it first, or do u do long divison first. Can u show me a example of through long divison and obtaining the slant aysmtopes. I really dont understand some of these. THANKSS!!