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In [[mathematics]], in reference to [[Function (mathematics)|functions]], the '''graph of a function''' f is the collection of all [[Tuple|ordered pairs]] (x, f(x)).

== Description ==

If the function input x is a [[Scalar (mathematics)|scalar]], 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(x1, x2)), and for a continuous function is a surface (see [[three-dimensional graph]]).

Informally, if x is a real number and f is a [[real-valued function]], graph may mean the graphical representation of this collection, in the form of a line chart: a curve on a Cartesian plane, together with Cartesian axes, etc.

Graphing on a [[Cartesian plane]] is sometimes referred to as [[curve sketching]].

== See also ==

* [[Continuous function]]
* [[Curve]]
* [[Function (mathematics)]]
* [[Mathematics]]
* [[Real-valued function]]
* [[Scalar (mathematics)]]
* [[Three-dimensional graph]]
* [[Two-dimensional graph]]
* [[Tuple]]

== External links ==

* [https://en.wikipedia.org/wiki/Graph_of_a_function Graph of a function]] @ Wikipedia

[[Category:Functions]]
[[Category:Mathematics]]