Math Help - graph of a rational function

1. graph of a rational function

I know how to graph a function such as $y=\frac{x-1}{x+2}$ by using differential calculus. I am studying this document: http://www.chabotcollege.edu/counsel...ent/colalg.pdf

to take a placement test for school here soon. I was surprised when I was asked to graph the function $y=\frac{x-1}{x+2}$ for a college algebra test. I don't understand how you would do it without using calculus. Is there anyway for someone with no knowledge of calculus to graph a function like this without laboriously calculating a bunch of points?

2. You can use algebra to graph it by knowing the vertical and horizontal asymptotes, x and y intercepts and then plotting some points