JEE Main 2023MathematicsFunctionsClassification Of FunctionsmediumMCQ

JEE Main 2023 — Functions Question with Solution

From: JEE Main 2023 (Online) 25th January Evening Shift

Question

The number of functions

satisfying is

Choose an option

Show full solutionCorrect option: A
Correct answer
A2

Step-by-step explanation



and

(i)



But

Hence,

and



and



From (A), (B) and (C) : or 1

Only two functions are possible.

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Functions chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2023, covering the Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.