Domain & Range
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 .