Posted by **Sophie** on Friday, October 15, 2010 at 3:51pm.

Consider the following function.

f(t) = 3t2 − 3

(a) Find the average rate of change of the function below over the interval

[3, 3.1].

(b) Compare this average rate of change with the instantaneous rates of change at the endpoints of the interval.

(at t = 3)

(at t = 3.1)