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Saturday, 31 October

JEE Main · Maths · Relations and Functions

Range of Composite Functions

JEE Main asked Range of Composite Functions 3 times in 3 of the 108 shifts Lumi analysed, in 2022, 2023 and 2024. It belongs to Functions and Domain, in Relations and Functions (Maths). The longest wait between two years asking it was 1 year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
3 of 8
First asked
2022
last in 2024
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2022, 2023 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200’210.04’220.07’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 1 in 24 shifts · 2023: 1 in 12 shifts · 2024: 1 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20241 of 18
  • 20231 of 12
  • 20221 of 24
  • 20210 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Range of composition of piecewise functions
  • Least value of composite function

Difficulty

Easy 0Medium 2Hard 1

Every question was multiple choice.

Every question

All 3 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 29 Jan 2024, Shift 1 · Q1If f(x)={2+2x,−1≤x<01−x3,0≤x≤3f(x)=\begin{cases}2+2x, & -1\leq x<0\\ 1-\frac{x}{3}, & 0\leq x\leq 3\end{cases} ;…MediumSingle correct
  2. 10 Apr 2023, Shift 1 · Q1If f(x)=(tan⁡1∘)x+log⁡e(123)xlog⁡e(1234)−(tan⁡1∘)f(x)=\frac{(\tan 1^\circ)x+\log_e(123)}{x\log_e(1234)-(\tan 1^\circ)}, x>0x>0, then the least value of…HardSingle correct
  3. 26 Jun 2022, Shift 2 · Q1Let f:R→Rf : \mathbb{R} \rightarrow \mathbb{R} be defined as f(x)=x−1f(x) = x - 1 and g:R−{1,−1}→Rg : \mathbb{R} - \{1, -1\} \rightarrow \mathbb{R} be…MediumSingle correct

Shifts: 26 Jun 2022, Shift 2, 10 Apr 2023, Shift 1, 29 Jan 2024, Shift 1.

Same topic

Other ideas in Functions and Domain

Functions and Domain has 20 ideas JEE Main has asked; 8 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas