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  3. for each function listed below either prove that it is...

Question: for each function listed below either prove that it is...

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For each function listed below, either prove that it is one-to-one, or prove that it is not. Answer all five parts. f: N → N defined byf(n) (n-1)n(n + 1) + 1. g: Zs Zs defined by g(n) - no2. g: Z11Z11 defined by g(n)n02 g: Z7 -Z7 defined by g(x)-nOnOn. r: A R defined by ґг)-Re [z] + Im [z], where A={z C : Im [z] 〉 0).

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