We have been asked to determine if the function in the table is linear or nonlinear. If it is linear, it will have a constant rate of change. This means that the x-values will change by the same amount each time and the y-values will change by the same amount each time. Let's check those changes now.
The x-values are constantly changing by adding 1 and the y-values are constantly changing by adding 2. Since the changes in both x- and y-values are constant, we have a constant rate of change. Hence, the function is linear.
