Example 2Find the domain and range of the function: .
Step 1. Find the domain.
Since the function is not representing a situation, the x can be any real number.
Therefore, the domain is .
Step 2. Find the range.
This graph is shifted to the right 2, which does not affect the asymptote. It has an asymptote at y = 0. It also has a positive a-value.
Therefore, the range of the function is .