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Math Help - one to one function

  1. #1
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    one to one function

    Let  f: A \rightarrow B be a function. We use f to define a relation  R_f on A as follows;

    For  a,b \epsilon A,  a R_f b if and only if f(a) = f(b).

    a. What is this relation when f is a one to one function?
    b. What is this relation when f is a constant function?


    Can anyone tell me where to start?
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  2. #2
    MHF Contributor Swlabr's Avatar
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    Quote Originally Posted by onemore View Post
    Let  f: A \rightarrow B be a function. We use f to define a relation  R_f on A as follows;

    For  a,b \epsilon A,  a R_f b if and only if f(a) = f(b).

    a. What is this relation when f is a one to one function?
    b. What is this relation when f is a constant function?


    Can anyone tell me where to start?
    Start with the definitions.

    Let f be a 1-1 function. Then f(a)=f(b) if and only if...?

    Let f be a constant function. Then f(a)=c for all a \in A and so...
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