Question 15. Consider the function f : Z → Z × Z defined by f(n) 3 (п + 1,2п). Is f surjective? Injective? Provide a proof or give a counter-example for each property.

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Question 15. Consider the function f : Z → Z × Z defined by
f (n) = (n+ 1, 2n).
Is f surjective? Injective? Provide a proof or give a counter-example for each property.
Transcribed Image Text:Question 15. Consider the function f : Z → Z × Z defined by f (n) = (n+ 1, 2n). Is f surjective? Injective? Provide a proof or give a counter-example for each property.
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