Question

The table below shows selected points from a function.

The rate of change for the interval shown in the table is__ , so the function is a ____ function.

Answer 1

The rate of change for the interval shown in the table is 1 , so the function is a linear function.

Explanation:

See the table attached.

The table shows selected points from a function.

Now, the given interval is x = 1 to x = 4.

For, x = 1, f(x) = 2 and for x = 4. the function f(x) = 5.

Therefore, the rate of change for the interval shown in the table i.e slope of the line is
`(5 - 2)/(4 - 1) = 1` and it is constant throughout the interval so the function is a linear function. (Answer)