Answer:
Average rate of change = -6
Step-by-step explanation:
We have given a function.
f(x)= 7-x²
We have to find the average rate of change in f(x) over the interval [1,5].
Average rate = f(b)-f(a) / b-a
Let b = 5 and a = 1
f(b) = 7-(5)²
f(b)= 7-25= -18
f(a) = 7-(1)²
f(a) = 7-1
f(a) = 6
Putting values in given formula, we have
Average rate of change = (-18-6) / (5-1)
Average rate of change = -24 / 4
Average rate of change = -6 which is the answer.
