Do the following for the function given below. (speed, stopping distance of a car) Describe an appropriate domain and range for the function. Make a rough sketch of a graph of the function. Briefly discuss the validity of the graph as a model of the true function. O A. The domain is stopping distances for each of the given speeds; 10 feet to 350 feet. O B. The domain is stopping distances for each of the given speeds; 10 miles to 350 miles. O C. The domain is realistic car speeds, 10 feet per second to 70 feet per hour. O D. The domain is realistic car speeds; 10 miles per hour to 70 miles per hour. Choose the appropriate range for the function below. O A. The range is realistic car speeds; 10 feet per second to 70 feet per hour. O B. The range is realistic car speeds; 10 miles per hour to 70 miles per hour. O C. The range is stopping distances for each of the given speeds; 10 miles to 350 miles. O D. The range is stopping distances for each of the given speeds; 10 feet to 350 feet. b. Make a rough sketch of a graph of the function. Choose the correct graph below. Let v represent speed in miles per hour and d represent stopping distance in feet. O A. O B. O C. OD. 400- 80 80 400- 300- 60- 60- 300- v ( mihn) 200- v ( mithr) 40- d ( feet) 40- d (feet) 200- 100- 20- 20- 100- of 20 40 60 80 0 100 200 300 400 0 100 200 300 400 0 20 40 60 80 d (feet) d (feet) v (mi/hr) v (mi/hr) c. Briefly discuss the validity of the graph as a model of the true function. Choose the correct answer below. O A. The validity of the graph as a model of the true function can never be known. O B. The graph is a valid model of the function because it is reasonable to assume that speed in miles per hour increases as stopping distance in feet increases. O C. The graph is a valid model of the function because it is reasonable to assume that stopping distance in feet increases as speed in miles per hour increases