JEE Main 2023MathematicsFunctionsMediumMCQ

JEE Main 2023 — Functions Question with Solution

JEE Main 2023 (31 Jan Shift 1)

Question

If the domain of the function fx=x1+x2, where x is greatest integer ≤x, is [2,6), then its range is

Choose an option

Show full solutionCorrect option: D
Correct answer
D537,25

Step-by-step explanation

Given:

fx=x1+x2

So,

fx=21+x2; x∈[2,3)fx=31+x2; x∈[3,4)fx=41+x2; x∈[4,5)fx=51+x2; x∈[5,6)

 

Hence,

fx∈537,25

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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.