Astudent used the following table of values and stated that the function described by the tables was a linear function

The question is missing the table. So, it is attached below.

The function is not linear. The student didn't evaluate the rate of change for the given points on the function.

Step-by-step explanation:

Given:

From the table, the set of points of the function are:

(-1, -5), (0, 0), (2,5), (3, 10), and (4, 15)

A function is said to be linear if the rate of change of the function is always a constant.

Rate of change for any two points is given as:

Here, the rate of change for the points (-1, -5) and (0, 0) is given as:

Now, the rate of change for the points (0, 0) and (2, 5) is given as:

Hence, we can observe that, the rate of change is different for the given points. Hence, it is not a linear function.

Therefore, the student didn't evaluate the rate of change for the given points on the function.