Hello,

First let me describe the problem and what I have done so far:

The Problem:

Find the horizontal and vertical asymptotes of the curve. Estimating the asymptotes.

For the horizontal asymptote, I was able to find it, and it is -1.

For the vertical asymptote, I find it as follow:

So when x=0, x=1, & x=-1 they will cause the denominator = 0, but the numerator is not = 0; therefore, I have to investigate

as x approaches these points x=0, x=1, & x=-1 from the left and from the right of these points. THIS IS WHERE I AM HAVING A PROBLEM.

QUESTION: Would you please explain to me how I can find these values: I am guessing that the values possibly either

or

but I do not know how to tell which one is the correct one unless I create a table and graph it. I believe there must be a way to tell it without having to graph it out.