Question: Given f(x) = 2x - x2, find the average rate of change of f (x) over each of the following pairs of intervals. (a) [2.9,

Given f(x) = 2x - x2, find the average rate of change of f (x) over each of the following pairs of intervals.
(a) [2.9, 3] and [2.99, 3]
(b) [3, 3.1] and [3, 3.01]
(c) What do the calculations in parts (a) and (b) suggest the instantaneous rate of change of f (x) at x = 3 might be?

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