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ID:
Class: 12
Subject: Math
Topic: Relations and Functions
Type: Mcq
Year: 2025
Question:
If \(f:N\rightarrow W\) is defined as \(f(n)=\begin{cases}\frac{n}{2},&if~n~is~even\\ 0,&if~n~is~odd\end{cases}\), then f is:
A.
injective only
B.
surjective only
C.
a bijection
D.
neither surjective nor injective
Official Solution
Correct Answer:
neither surjective nor injective
Explanation:
neither surjective nor injective
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