behavior of a graph

[philly]

I need help with this problem please:

Let p(x) and q(x) be polynomials and suppose q(xsubscript o)=0.
Discuss the behavior of the graph of y=p(x)/q(x) in the vicinity of x=xsubscript o.
Give examples to support your conclusions
Thanks

 

[stapel]

Hint: What happens to a graph when you divide by zero?

Eliz.

 

[philly]

It is undefined!!!!

So if its undefined how do you discuss the behavior since p(x)/q(x)=p(x)/0?

 

[tkhunny]

Never write that again!

What does "undefined" mean? If you are not quite there, is it ALMOST undefined or is it defined? Does is suddenly jump to undefined or does it get there smoothly?

You may also wish to wonder what happens as x increases without bound in the positive or negative direction.

You may also wish to investigate where p(x) = 0.

p(0)/q(0) may also be interesting.