Graph of a function: Difference between revisions

Revision as of 00:00, 2 November 2022

Revision as of 05:43, 27 November 2022

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<math display=block>G(f) = \{ (1,a), (2,d), (3,c) \}.</math>

From the graph, the ___domain <math>\{1,2,3\}</math> is recovered as the set of first component of each pair in the graph <math>\{1,2,3\} = \{x :\ \text{there exists } y,\text{ such that }(x,y) \in G(f)\}</math>.

Similarly, the [[Range of a function|range]] can be recovered as <math>\{a,c,d\} = \{y : \text{there exists }x,\text{ such that }(x,y)\in G(f)\}</math>.

The codomain <math>\{a,b,c,d\}</math>, however, cannot be determined from the graph alone.