Example 2

State the domain and range for the following function.

The function shown begins at the point (−4, 1) and extends indefinitely to the right and up. As such, there are restrictions on both variables.

The notation is still used to help define the domain. Although x cannot be less than −4, it can be any Real Number value that is greater than or equal to −4.

Similarly, the notation is still used to help define the range. Although y cannot be less than 1, it can be any Real Number value that is greater than or equal to 1.

Example 3

State the domain and range for the following function.

The function shown begins at the point (−1, −1) and extends to the right and up to the point (2, 5). As such, there are restrictions on both variables.

The notation is still used to help define the domain. The value of x can be any Real Number between, and including, −1 and 2.

Similarly, the notation is still used to help define the range. The value of y can be any Real Number value between, and including, −1 and 5.