Plotting Points
When all  else fails!

Check out the rational function Grapher/Tutorial at joemath.com

Let's graph	Start by making a table of values....
	x y -3 -1/5 = -.2 -2 -1/4 = -.25 -1 -1/3 »-.3 0 -1/2 = -.5 1  -1/1 = -1 2 undefined 3  1/1 = 1 4 1/2 = .5 5 1/3 ».3 6 1/4 = .25
Plot these points	Try to be accurate
			Plot (-3, -.2) , (-2, -.25) (-1, -.3) .....
Find more points	What happens at near 2?
	Plug in values close to 2 like 2.5, 2.2, 2.1, 2.01
			(2.5, 2)
			(2.2, 5))
			(2.1, 10)
			(2.01, 100)
	Plot these new points
As we get closer to 2 we see that y gets very large (and small) quickly .
	Plug in values close to 2 like 1.5, 1.8, 1.9, 1.99
			(1.5, -2)
			(1.8, -5)
			(1.9, -10)
			(1.99, -100)
	Plot these new points
As x gets large (or small) y gets closer to zero.
			I made this with MathCAD.  Note the vertical asymptote at  x = 2 and the horizontal asymptote at y = 0.

Check out the rational function Grapher/Tutorial at joemath.com