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write:Let’sseeifwecanfigureoutjustwhatitmeans. Let’stakealookatthefollowingexamplethatwillhopefullyhelpusfigureallthisout.

butwejustwantedtolistafewpossiblerelationstogivesomeexamples.Noteaswellthatwecouldalsogetotherorderedpairsfromtheequationandaddthoseintoanyoftherelationsaboveifwewantedto.Now
atthispointyouareprobablyaskingjustwhywecareaboutrelationsandthatisagoodquestion.Somerelationsareveryspecialandareusedatalmostalllevelsofmathematics.Thefollowingdefinitiontellsusjustwhichrelationsarethesespecialrelations.DefinitionofaFunctionAfunctionisarelationforwhicheachvaluefromthesetthefirstcomponentsoftheorderedpairsisassociatedwithexactlyonevaluefromthesetofsecondcomponentsoftheorderedpair.Okay
thatisamouthfull.Let’sseeifwecanfigureoutjustwhatitmeans.Let’stakealookatthefollowingexamplethatwillhopefullyhelpusfigureallthisout.©PaulDawkinsAlgebra–198–

 

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