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Math Help - Discrete Math PLEASE HELP!!

  1. #1
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    Discrete Math PLEASE HELP!!

    f(m,n)= m^2 - n^2

    a) Determine if the function is injective

    b) Prove the answer to part a

    c) Determine if the function is surjective

    d) Prove the answer to part c
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by jas05s View Post
    f(m,n)= m^2 - n^2

    a) Determine if the function is injective

    b) Prove the answer to part a
    you must show whether or not f(m_1,n_1) = f(m_2,n_2) \implies m_1 = m_2 \mbox{ and } n_1 = n_2. if yes, it is injective.


    c) Determine if the function is surjective

    d) Prove the answer to part c
    you must show whether or not for any a \in f[ \mbox{dom}f] there are m,n such that f(m,n) = a. (are m and n real numbers here?)
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