6. Prove or disprove the statements: (a) The function f: Z × Z → Z defined by f(m,n) = m + n +1 is onto. b) The function f:Z × Z → Z defined by f(m,n) = m + n + 1 is one-to-one.

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6. Prove or disprove the statements:
(a) The function f: Z × Z → Z defined by f(m,n) = m + n +1 is onto.
b) The function f:Z × Z → Z defined by f(m,n) = m + n + 1 is one-to-one.
Transcribed Image Text:6. Prove or disprove the statements: (a) The function f: Z × Z → Z defined by f(m,n) = m + n +1 is onto. b) The function f:Z × Z → Z defined by f(m,n) = m + n + 1 is one-to-one.
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