Example 3

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 down 2 and has an asymptote at y = -2. It also has a negative *a*-value.

Therefore, the range of the function is .