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 ?

Sign Up to our MetaHub questions and Answers Engine to ask questions, answer members' questions, and connect with other teachers & members.

Login to our META-HUB questions & Answers Forum

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

Please briefly explain why you feel this question should be reported.

Please briefly explain why you feel this answer should be reported.

Please briefly explain why you feel this user should be reported.

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} .

Thank you very much sir.

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

Of course 😊