Question

Use the graph below to answer the following question:

What is the average rate of change from x = –4 to x = 1?

–3
–1
0
1

Answer 1

The average rate of change from x = –4 to x = 1 is 3.

Step-by-step explanation:

To find the average rate of change from x = –4 to x = 1, we need to calculate the change in y-values and divide it by the change in x-values. Given that the slope of the line is 3, we can use the formula for average rate of change: (change in y) / (change in x). In this case, the change in x is 1 - (-4) = 5, and the change in y is 3 * 5 = 15. Therefore, the average rate of change is 15 / 5 = 3.

Answer 2

the values of f(x) at x = -4 and x = 1 are 4 and -1 respectively.

average rate of change = (-1 - 4) / 1 - (-4) = -5 / 5 = -1