For the given function:a) Describe an appropriate domain and range for the function.b) Make a rough sketch of a graph of the function. c) Briefly discuss the validity of your graph as a model of the true function.(size of truck, average fuel mileage)
What will be an ideal response?
Answers may vary.
a) The domain of the function consists of the typical sizes of all trucks from about 6 ft tall to 10 ft tall. The range consists of the average fuel mileage for trucks of various sizes.
b)
c) This function should be roughly decreasing, because we expect fuel mileage to decrease as the size of the truck increases. However, the function probably would not give a good model because of the many exceptions (length and weight of truck, tall trucks with excellent fuel mileage and shorter trucks with poor fuel mileage).
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