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Math Help - The problem in Functions.

  1. #1
    Newbie
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    May 2007
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    Smile The problem in Functions.

    Dear All,

    The following is my question:

    A function f:{1,2,3,4,} -> {0,1,2,3} is defined by the rule: f(n)=(n+6) mod 4
    a. Draw an arrow diagram for this function.

    I know how to do it but I do not know how to draw it in here.

    b. Is f one-to-one?

    Yes, it is.

    c. Is f onto?

    Yes, it is.

    d. Does f^-1 exist? Explain your answer.

    I have a problem in this part. Please explain the answer to me.

    Cheers,
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by turboman View Post
    Dear All,

    The following is my question:

    A function f:{1,2,3,4,} -> {0,1,2,3} is defined by the rule: f(n)=(n+6) mod 4
    a. Draw an arrow diagram for this function.

    I know how to do it but I do not know how to draw it in here.

    :
    :

    d. Does f^-1 exist? Explain your answer.

    I have a problem in this part. Please explain the answer to me.

    Cheers,
    Does every point in {0, 1, 2, 3} correspond to the image of one and only one point in {1, 2, 3, 4}? (You have already answered this) if so the inverse exists.

    Alternativly in terms of the arrow diagram is every point in {1,2,3,4} the end point of one and only one arrow from a point in {1,2,3,4}, if so just reverse the arrows and this defines the inverse function.

    CB
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