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(c) f' ( - 1) (d) f (2) - f(-1) 2 - (-1) 16. For the graph of g(x) shown next at the right, list
(c) f' ( - 1) (d) f (2) - f(-1) 2 - (-1) 16. For the graph of g(x) shown next at the right, list the following quantities in order from least to greatest: (a) the average rate of change of g on [0, 1] (b) the instantaneous rate of change of g at x = 1 (c) 8(-1+0.1)-8(-1) 0.1 (d) 8(1) -8(-1) 1- (-1) f(x), Exercises 15 and 17 g(x), Exercises 16 and 18 3+ 2+ - 2 -1 12 X - 2 X N - -2- 17. Consider again the function f graphed at the left. At which values of x does f have the greatest instantaneous rate of change? The least? At which values of x is the instantaneous rate of change of f equal to zero? 18. Consider again the function g(x) graphed at the right. For which values of x does g(x) have a positive instantaneous rate of change? Negative? Zero? 19. Make a copy of the graph of f used in Exercises 11 and 13, and sketch additional secant lines to illustrate that as h - 0 (or equivalently, as z - c) the slopes of the secant line get closer and closer to the slope of the tangent line
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