ID: Class: 12 Subject: Math Topic: Relations and Functions Type: Short (SA) Year: 2025

Question:

Show that the function \(f:N\rightarrow N\), where N is a set of natural numbers, given by \(f(n) = \begin{cases}n-1,&if~n~is~even\\ n+1,&if~n~is~odd\end{cases}\) is a bijection.