1. Consider the function f(x) = x2. (a) Calculate the average rate of change of f from 1 to b for the following values of b. i. b = 2; b = 1.5; b = 1.1; b = 1.01; b = 1.001 ii. b = 0; b = 0.5; b = 0.9; b = 0.99; b = 0.999 (b) Based on your answers to part (a) make a hypothesis of what you see happening to the average rate of change as b approaches 1