Question: Let y = f(x) = x2 - 4x.
a. Find the average rate of change of y with respect to x in the interval from x = 3 to x = 4, from x = 3 to x = 3.5, and from x = 3 to x = 3.1.
b. Find the (instantaneous) rate of change of y at x = 3.
c. Compare the results obtained in part (a) with that of part (b).