Use the table below to answer this question: x y
-1 -3
0 -1
2 3

Find the average rate of change for the given function from x = −1 to x = 2.

A.) −2

B.)−1

C.)1

D.) 2

Given:

The table of values.

To find:

The average rate of change for the given function from x = −1 to x = 2.

Solution:

From the given table it is clear that y=-3 at x=-1 and y=3 at x=2.

Formula for average rate of change is

Using the above formula, the average rate of change for the given function from x = −1 to x = 2 is

Therefore, the correct option is D.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).