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Line 14: is {(''x'',''x''<sup>3</sup>-9''x'') : ''x'' is a real number}. If the set is plotted on a [[Cartesian coordinate system\|Cartesian plane]], the result is [[Image::cubicpoly.png]] Therefore the graph of a function on real numbers is identical to the graphic representation of the function. For general functions, the graphic representation cannot be applied and the formal definition of the graph of a function suits the need of mathematical statements, e.g., the [[closed graph theorem]] in [[functional analysis]].

Graph of a function: Difference between revisions