Let Z4 denote the set of positive integers and consider the function f : Z+ → Z, defined by f(n) = n2 + 1. 1. Is this function surjective? (In other words, does it map onto all of Z4?) 2. Is this function one-to-one?

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Discrete Math

Let Z4 denote the set of positive integers and consider the function f : Z+ → Z+ defined by
f(n) = n2 + 1.
1. Is this function surjective? (In other words, does it map onto all of Z4?)
2. Is this function one-to-one?
Transcribed Image Text:Let Z4 denote the set of positive integers and consider the function f : Z+ → Z+ defined by f(n) = n2 + 1. 1. Is this function surjective? (In other words, does it map onto all of Z4?) 2. Is this function one-to-one?
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