1. Let f: N→ N be a rule defined by n f(n) = 2 if n > 1 2n + 1 ifn ≤ 1 (a) Is f a well-defined function? Justify your answer. *Well-defined function: the function applies to all in the domain, outputs are all in codomain, inputs have one single output. (b) What is the domain and codomain of this function? Justify your answer. *Domain - set of all inputs for a function/ Codomain - set of all possible outputs/ Range - outputs of f for some input x (c) Is this function injective, surjective, or bijective? Justify your answer.

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