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Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_functions

Class 12 Maths · Relations And Functions · Mcq Single Correct #139

Let \(f:\mathbb N\to\mathbb N\), \(f(n)=\begin{cases}(n+1)/2,&n\text{ odd}\\n/2,&n\text{ even}\end{cases}\). Then f is

✅ Step-by-Step Solution

Final Answer: Option (C): Onto but not one-one
  1. For every k in N, f(2k)=k, so it is onto. Also f(1)=f(2)=1, so it is not injective.

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