Graph of a function: Difference between revisions

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Given a [[function (mathematics)|function]] <math>f : X \to Y</math> from a set {{mvar|X}} (the [[___domain of a function|___domain]]) to a set {{mvar|Y}} (the [[codomain]]), the graph of the function is the set<ref>{{cite book|author=D. S. Bridges|title=Foundations of Real and Abstract Analysis|url=https://archive.org/details/springer_10.1007-978-0-387-22620-0|year=1991|publisher=Springer|page=[https://archive.org/details/springer_10.1007-978-0-387-22620-0/page/n292 285]|isbn=0-387-98239-6}}</ref>

<math display=block>G(f) = \{(x,f(x)) : x \in X\},</math>

which is a subset of the [[Cartesian product]] <math>X\times Y</math>. In the formal definition of a function in terms of [[set theory]], theit is common to identify a function with its graph, ofalthough, theformally, a function is actuallyformed equal toby the functiontriple itselfconsisting of its ___domain, its codomain and its graph.

== Examples ==