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what is mean by domain,range co-domain?how they are interconnected? give examples?

Domain, Codomain and Range

There are special name for what can go into, and what can come out of a function:
    What can go into a function is called the Domain
    What may possibly come out of a function is called the Codomain
    What actually comes out of a function is called the Range

Let us look at a simple example:
Domain, Range and Codomain    




Let us look at a simple example:
Domain, Range and Codomain    

In this illustration:

    the set "A" is the Domain,
    the set "B" is the Codomain,
    and the set of elements that get pointed to in B (the actual values produced by the function) are the Range, also called the Image.

 In that example:

    Domain: {1, 2, 3, 4}
    Codomain: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
    Range: {3, 5, 7, 9}


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