A mapping f: N N , where N is the set of natural numbers is defined as f(n)=n^ 2 , for n…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
A mapping \(f: N \rightarrow N\), where N is the set of natural numbers is defined as
\(f(n)=n^{2}\), for n odd
\(f(n)=2 n+1\), for n even
Then f is
- surjective but not injective
- injective but not surjective
- bijective
- neither injective nor surjective
Answer
(D) neither injective nor surjective
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