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....  




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