Let a function Eliment| Math Function

JEE MAIN 2022

28-6-2022 S1

Question

Let a function $f: \mathbb{N} \rightarrow \mathbb{N}$ be defined by $f(n)=\left[\begin{array}{cc}2 n, & n=2,4,6,8, \ldots \\ n-1, & n=3,7,11,15, \ldots \\ \frac{n+1}{2}, & n=1,5,9,13, \ldots\end{array}\right.$ then, $f$ is

Select the correct option:

one-one but not onto

onto but not one-one

neither one-one nor onto

one-one and onto

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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