A display system for a vehicle includes a display screen and host machine operable for calculating a maximum theoretical range for a predetermined criterion, formulating a value function for each point in the maximum theoretical range, and calculating a solution to each of the value functions. The method also includes forming a polygon or a closed curve from the mathematical hull of all points in the maximum theoretical range having a value function solution less than corresponding limit, and displaying a perimeter of the closed curve via the display screen to indicate the effective range of the vehicle for the criterion. A vehicle includes an energy storage system, a motor/generator unit for propelling the vehicle in an electric-only (EV) mode, the display screen, and host machine, wherein the criterion is the EV mode. A method of operating the display system is also disclosed herein.