Can a function map a single X value to multiple Y values?












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If I have the domain X: A, B, C, and the domain Y: 1, 2, 3, 4 is it possible to have every value of Y correspond to a value in C?



For exampleC could f(x) = 1, and at the same time f(x) = 2? Is it possible for f(A) to correspond to 1 and 2?



Thanks






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  • 3




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    For a function, no, but for a relation, yes.
    $endgroup$
    – Andrew D. Hwang
    Aug 9 '17 at 11:33
















0












$begingroup$


If I have the domain X: A, B, C, and the domain Y: 1, 2, 3, 4 is it possible to have every value of Y correspond to a value in C?



For exampleC could f(x) = 1, and at the same time f(x) = 2? Is it possible for f(A) to correspond to 1 and 2?



Thanks






functions







share|cite|improve this question









$endgroup$








  • 3




    $begingroup$
    For a function, no, but for a relation, yes.
    $endgroup$
    – Andrew D. Hwang
    Aug 9 '17 at 11:33














0












0








0





$begingroup$


If I have the domain X: A, B, C, and the domain Y: 1, 2, 3, 4 is it possible to have every value of Y correspond to a value in C?



For exampleC could f(x) = 1, and at the same time f(x) = 2? Is it possible for f(A) to correspond to 1 and 2?



Thanks






functions







share|cite|improve this question









$endgroup$




If I have the domain X: A, B, C, and the domain Y: 1, 2, 3, 4 is it possible to have every value of Y correspond to a value in C?



For exampleC could f(x) = 1, and at the same time f(x) = 2? Is it possible for f(A) to correspond to 1 and 2?



Thanks






functions




functions






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share|cite|improve this question











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share|cite|improve this question










asked Aug 9 '17 at 11:28









JmJJmJ

1033




1033








  • 3




    $begingroup$
    For a function, no, but for a relation, yes.
    $endgroup$
    – Andrew D. Hwang
    Aug 9 '17 at 11:33














  • 3




    $begingroup$
    For a function, no, but for a relation, yes.
    $endgroup$
    – Andrew D. Hwang
    Aug 9 '17 at 11:33








3




3




$begingroup$
For a function, no, but for a relation, yes.
$endgroup$
– Andrew D. Hwang
Aug 9 '17 at 11:33




$begingroup$
For a function, no, but for a relation, yes.
$endgroup$
– Andrew D. Hwang
Aug 9 '17 at 11:33










2 Answers
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$begingroup$


Can a function map a single X value to multiple Y values?




By definition, no. A function maps every X value in the valid domain to only a single Y value.




"In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output".







share|cite|improve this answer









$endgroup$





















    1












    $begingroup$

    In mathematics, the definition of a function requires that any single input may only have one output.






    share|cite|improve this answer











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      2 Answers
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      2 Answers
      2






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      active

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      1












      $begingroup$


      Can a function map a single X value to multiple Y values?




      By definition, no. A function maps every X value in the valid domain to only a single Y value.




      "In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output".







      share|cite|improve this answer









      $endgroup$


















        1












        $begingroup$


        Can a function map a single X value to multiple Y values?




        By definition, no. A function maps every X value in the valid domain to only a single Y value.




        "In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output".







        share|cite|improve this answer









        $endgroup$
















          1












          1








          1





          $begingroup$


          Can a function map a single X value to multiple Y values?




          By definition, no. A function maps every X value in the valid domain to only a single Y value.




          "In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output".







          share|cite|improve this answer









          $endgroup$




          Can a function map a single X value to multiple Y values?




          By definition, no. A function maps every X value in the valid domain to only a single Y value.




          "In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output".








          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Aug 9 '17 at 11:33









          LloydTaoLloydTao

          32114




          32114























              1












              $begingroup$

              In mathematics, the definition of a function requires that any single input may only have one output.






              share|cite|improve this answer











              $endgroup$


















                1












                $begingroup$

                In mathematics, the definition of a function requires that any single input may only have one output.






                share|cite|improve this answer











                $endgroup$
















                  1












                  1








                  1





                  $begingroup$

                  In mathematics, the definition of a function requires that any single input may only have one output.






                  share|cite|improve this answer











                  $endgroup$



                  In mathematics, the definition of a function requires that any single input may only have one output.







                  share|cite|improve this answer














                  share|cite|improve this answer



                  share|cite|improve this answer








                  edited Aug 9 '17 at 11:37

























                  answered Aug 9 '17 at 11:31









                  DWDDWD

                  503213




                  503213






























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