Show that the function \(f: \mathbb{N} \rightarrow \mathbb{N}\) defined by \(f(m) = m^2 + m + 3\) is one-to-one function.
\(f(1) =\)
\(f(2) = \)
\(f(3) = \)
\(f(4) = \)
We can observe that there are different images in the co-domain for in the domain.
Thus, the function \(f\) is one-to-one function.