1. A navigation device having a range indicator for an electric driving mode of a motor vehicle, comprising: an evaluation device comprising at least one processor to determine a maximum range within which the motor vehicle is expected to be able to travel in a current electric driving mode using remaining energy stored in a storage of the motor vehicle which stores energy to be supplied to the electric motor, the maximum range being defined as an action area delimited by an edge having a profile; specially programmed graphics processor coupled to the evaluation device, to receive data on the profile of the edge of the action area and to generate, based on graphics data of a roadmap to be displayed, a representation of the roadmap with the action area, the representation having a vertically offset region which is represented vertically offset with respect to a plane of the action area, the vertically offset region having an edge with a profile that corresponds to the profile of the edge of the action area; and a display coupled to the evaluation device via the graphics processor, to display the roadmap on which the edge of the action area is represented with the vertically offset region.