Given f(x) = x2 + 3x + 7, find the average rate of change of f (x)

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Given f(x) = x2 + 3x + 7, find the average rate of change of f (x) over each of the following pairs of intervals.
(a) [1.9, 2] and [1.99, 2]
(b) [2, 2.1] and [2, 2.01]
(c) What do the calculations in parts (a) and (b) suggest the instantaneous rate of change of f (x) at x = 2 might be?
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