etermine the average rate of change of the function on the given interval. Express your answer in exact simplest form.
f(x) = 2x^2+2
(c) on [3. 4]
To find the average rate of change of the function on the interval [3, 4], we first need to find the function values at the endpoints of the interval.
f(3) = 2(3)^2 + 2
f(3) = 2(9) + 2
f(3) = 18 + 2
f(3) = 20
f(4) = 2(4)^2 + 2
f(4) = 2(16) + 2
f(4) = 32 + 2
f(4) = 34
Now, we can calculate the average rate of change using the formula:
Average rate of change = (f(b) - f(a)) / (b - a)
Average rate of change = (f(4) - f(3)) / (4 - 3)
Average rate of change = (34 - 20) / 1
Average rate of change = 14
Therefore, the average rate of change of the function f(x) = 2x^2 + 2 on the interval [3, 4] is 14.