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In mathematics, the graph of a function f is, formally, the set of all ordered pairs (x, f ), and, in practice, the graphical representation of this set. If the function input x is a real number, the graph is a two-dimensional graph, and, for a continuous function, is a curve. If the function input x is an ordered pair (x1, x2) of real numbers, the graph is the collection of all ordered triples (x1, x2, f ), and for a continuous function is a surface.