1. Consider the cubic function, y(x) = 23. (a) What is average rate of change of y(x) between the points x = 1 and x = 2? (b) What is the average rate of change y(x) between the points r = 1 and x = 1.1? (c) What is the average rate of change of y(r) between the points r = 1 and r = 1.01 (d) To what value do your calculations seem to converge? (e) What do you think is the derivative of y(x) = x3 at the point r = 1