Question

Use the table below to answer this question:

х
у
-3
-3
0
3
1
5

Find the average rate of change for the given function from x = -3 to x = 1.
A) 2
B) -3
C) -1
D) -2

Answer 1

The average rate of change for the function from x = -3 to x = 1 is calculated by dividing the change in y by the change in x, resulting in an average rate of 2.

Step-by-step explanation:

The average rate of change of a function between two points can be found by using the formula: (change in y) / (change in x). From the table, we have two points: (-3, -3) and (1, 5). So the change in y (y2 - y1) is 5 - (-3) = 8, and the change in x (x2 - x1) is 1 - (-3) = 4. Thus, the average rate of change from x = -3 to x = 1 is 8 / 4 = 2.

To summarize, the average rate of change for the function from x = -3 to x = 1 is 2, which corresponds to option A.