Suppose you own a fuel-efficient hybrid automobile with a monitor on the dashboard that displays the mileage and gas consumption. The number of miles you can drive with g gallons of gas remaining in the tank on a particular stretch of highway is given by m(g) = 50g - 25.8g² + 12.5g³ - 1.6g⁴, for 0 ≤ g ≤ 4.

a. Graph and interpret the mileage function.

b. Graph and interpret the gas mileage m(g)/g.

c. Graph and interpret dm/dg.