Given below are two statements:
Assertion (A):
A function \(f:N\to N\), defined as
\[
f(x)=
\begin{cases}
x+1, & \text{if } x \text{ is odd}\\
x-1, & \text{if } x \text{ is even}\\
\end{cases}
\]
is not surjective.
Reason (R):
A function \(f:X\to Y\) is said to be surjective if every element of \(Y\) is the image of some element of \(X\) under \(f\), i.e., for every \(y\in Y\), there exists \(x\in X\), such that \(f(x)=y\).