Example 2

Find the domain and range of the function: DREx2-1.

Step 1. Find the domain.

Since the function is not representing a situation, the x can be any real number.

Therefore, the domain is DREx2-2.

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 DREx2-3.

Listen