Answer:
-4
Step-by-step explanation:
The values of f(x) given in the table are:
f(-2) = 25
f(-1) = 24
f(0) = 21
f(1) = 16
f(2) = 9
To find the average rate of change from -2 to 2, we subtract the value of f(-2) from the value of f(2) and divide it by the difference in the x-values (2 - (-2) = 4).
Change in f(x) = f(2) - f(-2) = 9 - 25 = -16
Change in x = 2 - (-2) = 4
Average rate of change = Change in f(x) / Change in x = -16 / 4 = -4