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x 0 5 10 13 17 18 20 23 25 27 f (x) 10 13 14.5 15.5 16 16.5 17 18 19 22 The table

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x 0 5 10 13 17 18 20 23 25 27 f (x) 10 13 14.5 15.5 16 16.5 17 18 19 22 The table gives observed values for the function y = f(x). We will use four methods to approximate the instantaneous rate of change of f(x) when x = 10. Since these are four different ways to approximate the same value, you should expect that your four results will be similar. 1. Average the slopes of two well-chosen secant lines for the function. 2. Find the slope of one secant line that should give a good approximation of the slope of the tangent. (please turn over)

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