The function f:N-1 N; defined by f(n)= the highest prime factor of n, is :

Question

The function $f:N-{1}	o N$; defined by $f(n)=$ the highest prime factor of $n$, is :

Accepted Answer

$$\begin{aligned}
& \mathrm{f}: \mathrm{N}-\{1\} \rightarrow \mathrm{N} \
& \mathrm{f}(\mathrm{n})=\text { The highest prime factor of } \mathrm{n} . \
& \mathrm{f}(2)=2 \
& \mathrm{f}(4)=2 \
& \Rightarrow \text { many one } \
& 4 \text { is not image of any element } \
& \Rightarrow \text { into }
\end{aligned}$$

Hence many one and into

Neither one-one nor onto.

Solutions · 1