(1) Let f(3:) : 3\". Tabulate the change of f over the intervals (i) [1,3], (ii)[1, 2], (iii)[1, 1], (iv) [1,12], (v)[1, 1.1], (vi)[1, 1.01]. Graph y : 3m together with the secant line passing through (1, f(1)) and (1.1,f(1.1)). average rate 0 f change Based on the pattern of numbers (without deriving a general formula), estimate how quickly f (:5) : 3x changes at as : 1. (2) Let f(.r) : em where e : 2.71. Tabulate the change of f over the intervals(i) [0,2], (ii)[0, 1], (iii)[0,.5], (iv) [0,025], (v)[0,0.1]. interval [0,2] [0,1] [0,05] [0,025] [0,01] average rate of change ] ] ] ] Estimate the rate of change of f (as) : 6\"\" at a: 2 0. Check your answer with this video: