Question

What is the graph of the rational function?

Answer 1

http://www.wolframalpha.com/input/?i=%28x%5E2+-+4x+%2B+3%29%2F%28x%5E2+-+9%29 here is the graph of the function compare them to the answer choices :)

Answer 2

Looks like A to me

Answer 3

\[\frac{( x-3)(x-1)}{ (x-3)(x+3) }=\frac{ (x-1) }{ (x+3) }\]
so vertical asymptote :x=-3
\[\lim_{x \rightarrow \infty}\frac{ (x-1) }{ (x+3) }=1\]
horizontal asymptote:y=1
so the answer is A.

Answer 4

Thanks