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

Mathematics · Functions

JEE Main 2024 — 27 January, Shift 1 — Question 18

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

$\mathrm{f}: \mathrm{N}-\{1\} \rightarrow \mathrm{N}$

$\mathrm{f}(\mathrm{n})=$ The highest prime factor of n.

$f(2)=2$ , $f(4)=2$

$\Rightarrow$ many one

$4$ is not image of any element $\Rightarrow$ into

Hence many one and into Neither one-one nor onto.

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