Answer and create. Question 1: The gas mileage m(x) (in mpg) for a certain vehicle can be approximated by m(x) = -0.028x2 + 2.688x - 35.012, where x is the speed of the vehicle in mph. Determine the speed at which the car gets its maximum gas mileage. Determine the maximum gas mileage. Answer the following, showing your calculations: (a) Determine the vertex and interpret the meaning of (h, k) in the problem situation. (b) Determine the x- and y-intercepts of the function. Interpret the meaning of each in the problem situation. Are all intercepts meaningful to the given problem? Explain. (c) Many real-world applications have a restricted domain and range. Determine an appropriate domain and range for the problem you chose