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Math Help - [SOLVED] Functions

  1. #1
    Member ronaldo_07's Avatar
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    [SOLVED] Functions



    How to determine this and please provide explanation if possible.
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  2. #2
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    Quote Originally Posted by ronaldo_07 View Post


    How to determine this and please provide explanation if possible.
    a. not 1-1, ie 1 \mapsto 1 and 2 \mapsto 1
    b. yes, it is 1-1, easily can be checked, check 0,1,2,3,4,5,6,7,8,9,10.
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  3. #3
    Member ronaldo_07's Avatar
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    Thank you could you explain it a bit further if possible please, how can you tell that 1 maps to 1 and 2 maps to 1.
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  4. #4
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    Quote Originally Posted by GaloisTheory1 View Post
    a. not 1-1, ie 1 \mapsto 1 and 2 \mapsto 1
    b. yes, it is 1-1, easily can be checked, check 0,1,2,3,4,5,6,7,8,9,10.
    sure. a. not 1-1, ie 1 \mapsto 1 and 2 \mapsto 1 b/c 1^3=1  \in \mathbb{Z}_7 and 2^3=1 \in \mathbb{Z}_7

    not onto. check 0,1,2,3,4,5,6

    b. yes, it is 1-1, easily can be checked, check 0,1,2,3,4,5,6,7,8,9,10.

    yes, it is onto. check 0,1,2,3,4,5,6,7,8,9,10.
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