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
(a) on [-5, -3]
To find the average rate of change of the function on the interval [-5, -3], we first need to find the function values at the endpoints of the interval.
f(-5) = 2(-5)^2 + 2 = 2(25) + 2 = 50 + 2 = 52
f(-3) = 2(-3)^2 + 2 = 2(9) + 2 = 18 + 2 = 20
Next, we calculate the average rate of change using the formula:
Average rate of change = (f(-3) - f(-5)) / (-3 - (-5)) = (20 - 52) / (-3 + 5) = -32 / 2 = -16
Therefore, the average rate of change of the function on the interval [-5, -3] is -16.