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Home/ Questions/Q 1633
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Ujala123
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Ujala123Begginer ( Level 6 )
Asked: March 9, 20232023-03-09T21:50:45+05:30 2023-03-09T21:50:45+05:30In: Algebra ( වීජ ගණිතය )

Functions

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Dear sir, I have this question about the domain, range and co domain of a function.

What is the correct definition for the co domain and what is the importance of it ?

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  1. Janaka
    2023-03-09T23:16:51+05:30Added an answer on March 9, 2023 at 11:16 pm

    Codomain Y is a set stated by the definition of a function such that all outputs of the function need to be within it , in other words it is a set of all possible outputs. Range R is the set of all outputs of a function and which can be determined by the relation and domain of the function. Therefore by definition R should be a subset of Y.  If R = Y function maps it’s domain onto codomain , if R ⊂ Y function maps it’s domain into codomain.

    To get a better insight of the issue we can consider probability function because it has practical importance and we can clearly see the difference of the two sets  . Here the domain is Event space and codomain is the set [0,1] but range is only particular values within the set [0,1]. In the case of tossing a coin once  range is the set {0,1/2 , 1} .

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    • Ujala123 Begginer ( Level 6 )
      2023-03-09T23:20:49+05:30Replied to answer on March 9, 2023 at 11:20 pm

      Thank you very much sir.

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    • Janaka
      2023-03-09T23:30:04+05:30Replied to answer on March 9, 2023 at 11:30 pm

      Actually it should be tossing a fair coin not just a coin.

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      • Ujala123 Begginer ( Level 6 )
        2023-03-10T00:00:41+05:30Replied to answer on March 10, 2023 at 12:00 am

        Of course 😊

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