Question

What is a vertical asymptote? How can you determine if a function has a vertical asymptote? Explain the behavior of the function as the variable x increases without bound. Provide an example of your vertical asymptote in your explanation.

Answer 1

Vertical Asymptotes-Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function.

We can check whether a function has vertical asymptote or not using this example.

for that value in domain of the function at which the value of the function reaches infinite.

Zeroes of the denominator will lead to vertical dashed lines and graphs that skinny up as close as you please to those vertical lines(Vertical asymptotes).