The Real Graph of Quadratics, Cubics, and Quartics

The selected polynomial is real over the set of points in the complex plane shown in black. The corresponding real values are plotted vertically over in blue and green (the real graph). The zeros of the polynomial are shown as red points.

The real graph of , that is, the graph of over the set of points in the domain of such that the imaginary part of is zero, is a visible three-dimensional object. The zeros of are the intersections of the real graph of with the complex plane.