C. Write a piecewise function modeling the car’s elevation over time. Type your response here:

d. Jacob wants to know the average rate of change of the car’s elevation with respect to time over the time interval [5, 7]. Use the piecewise function you wrote in part c to find this.

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e. Identify an interval over which you will get an average rate of change of elevation with a sign opposite to the one you just found. Justify your answer by solving for that interval.

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f. For the function (x > 10), consider the interval [a, b]. If the starting point of the interval, a, remains fixed and the endpoint, b, keeps extending, what eventually happens to the average rate of change of elevation with respect to time?

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