Answer
Vertical asymptote:
If a function gets larger and larger in magnitude without bound as $x$ approaches the number $k$,
then the line $x=k$ is a vertical asymptote.
Horizontal asymptote:
If the values of $y$ approach a number $k$ as $|x|$ gets larger and larger,
the line $y=k$ is a horizontal asymptote.
Work Step by Step
Vertical asymptote: search for number(s) k such that:
If a function gets larger and larger in magnitude without bound as $x$ approaches the number $k$,
then the line $x=k$ is a vertical asymptote.
Horizontal asymptote: search for number(s) k such that:
If the values of $y$ approach a number $k$ as $|x|$ gets larger and larger,
the line $y=k$ is a horizontal asymptote.
