Free Analyze vertical asymptotes of rational functions Practice Problems • Learn To Be

$q(x)=\dfrac{x^2-8x+15}{x^2-6x+9}$

Describe the behavior of the function $q$ around its vertical asymptote at $x=3$ .

Choose 1 answer:

A
As $x \rightarrow3^-$ , $q(x)\rightarrow +\infty$ , and as $x \rightarrow3^+$ , $q(x)\rightarrow +\infty$ .
B
As $x \rightarrow3^-$ , $q(x)\rightarrow -\infty$ , and as $x \rightarrow3^+$ , $q(x)\rightarrow +\infty$ .
C
As $x \rightarrow3^-$ , $q(x)\rightarrow +\infty$ , and as $x \rightarrow3^+$ , $q(x)\rightarrow -\infty$ .
D
As $x \rightarrow3^-$ , $q(x)\rightarrow -\infty$ , and as $x \rightarrow3^+$ , $q(x)\rightarrow -\infty$ .

Analyze vertical asymptotes of rational functions