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This visualizes a 1-parameter family of cubic functions in one variable in a 3d-coordinate system.
A family of graphs of functions in 1 variable may be understood as a single 3d graph of a function in 2 variables. The object shown is the graph of the function z = x^3+xy for x and y between -1.5 and 1.5. This version of the object shows some of the curves for fixed values of x and some fixed values of y.
Some of its cubic curves and lines are highlighted.