For Exercises #1-4, use the graph of y= f(x) below 14 13 12 -11- 10 -9...

  

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For Exercises #1-4, use the graph of y= f(x) below 14 13 12 -11- 10 -9 8 7 6 0 12 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31 1. For each requested rate of change, sketch the line whose slope represents that rate of change. Carefully and legibly label each line with the part (1a, 1b, 1c, 1d, 1e) which it represents, and then estimate its slope. Show work for full credit. a. The average rate of change off from x=6 to x = 12: b. The average rate of change of f from x=9 to x = 10: c. The instantaneous rate of change of f at x =11: d. The instantaneous rate of change of f at x = 16: 2. Estimate the value of .X with the greatest instantaneous rate of change of f for X in [0,00). Explain how you know. 3. As X increases past x=15, what value does the output off approach? f(x) . 4. As X increases past x=15, estimate the value that the instantaneous rate of change in f approaches. instantaneous rate of change of f For Exercises #1-4, use the graph of y= f(x) below 14 13 12 -11- 10 -9 8 7 6 0 12 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 31 1. For each requested rate of change, sketch the line whose slope represents that rate of change. Carefully and legibly label each line with the part (1a, 1b, 1c, 1d, 1e) which it represents, and then estimate its slope. Show work for full credit. a. The average rate of change off from x=6 to x = 12: b. The average rate of change of f from x=9 to x = 10: c. The instantaneous rate of change of f at x =11: d. The instantaneous rate of change of f at x = 16: 2. Estimate the value of .X with the greatest instantaneous rate of change of f for X in [0,00). Explain how you know. 3. As X increases past x=15, what value does the output off approach? f(x) . 4. As X increases past x=15, estimate the value that the instantaneous rate of change in f approaches. instantaneous rate of change of f