Answer:
The ? represents the number 38 because the average rate of change on every interval of the function is 3
Step-by-step explanation:
Firstly, we calculate the average rate of change over a function can be calculated using the formula below;
f(b) -f(a)/(b-a)
Now, over the interval [-2,2]
we have;
(17-5)/(2/(-2)) = 12/4 = 3
This is expected to be the blanket average rate of change
Thus, we have it that over the interval [5,9]; we have;
3 = f(b) - 26/9-5
3 = f(b) - 26/4
4(3) = f(b) - 26
12 = f(b) - 26
f(b) = 12 + 26
f(b) = 38
