Graph of a function: Difference between revisions

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{{about||graphical representation|Plot (graphics)|the combinatorial structure|Graph (discrete mathematics)|the graph-theoretic representation of a function from a set to itself|Functional graph}}
{{refimproveHiimprove|date=August 2014}}
[[File:F(x) = x^3 − 9x.PNG|right|thumb|250px| Graph of the function {{nowrap|1=''f''(''x'') = ''x''<sup>3</sup> − 9''x''}}]]
In [[mathematics]], the '''graph''' of a [[function (mathematics)|function]] {{math|''f''}} is, formally, the set of all [[ordered pair]]s {{math|(''x'', ''f''(''x''))}}, such that {{math|''x''}} is in the [[Domain of a function|___domain of the function]] {{math|''f''}}. In the common case where {{mvar|x}} and {{math| ''f''(''x'')}} are [[real number|real numbers]], these pairs are [[Cartesian coordinates]] of points in the [[Euclidean plane]] and thus form a subset of this plane, which is a [[curve]] in the case of a [[continuous function]]. This graphical representation of the function is also called the ''graph of the function''.