Analyzing Domain
Factor Denominator
Find Zeros of Denominator
Simplify
Find Zeros of Denominator
Example:
What is the domain of 𝑓𝑥?
At what 𝑥-values is there a vertical asymptote?
At what 𝑥-values is there a hole in the graph?
Getting a little more specific
Find the coordinates of the hole in the graph.
Use one-sided limits to describe the behavior of the graph around the vertical asymptote.