Example 2

Find 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 .