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Saturday, 31 October

JEE Main · Maths · Application of Derivatives

Monotonicity in Piecewise Functions

JEE Main asked Monotonicity in Piecewise Functions 2 times in 2 of the 108 shifts Lumi analysed, all in 2021. It belongs to Monotonicity, in Application of Derivatives (Maths). In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
1 of 8
First asked
2021
the only year
Pattern
Gone quiet
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.07’210’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 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
  • 20240 of 18
  • 20230 of 12
  • 20220 of 24
  • 20212 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: application.

  • Increasing interval of piecewise function
  • Intervals of increase of piecewise function

Difficulty

Easy 0Medium 2Hard 0

Every question was multiple choice.

Every question

All 2 questions

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

  1. 22 Jul 2021, Shift 2 · Q75Let f:R→Rf:\mathbf{R}\to\mathbf{R} be defined as f(x)={−43x3+2x2+3x,x>03xex,x≤0f(x)=\begin{cases}-\frac{4}{3}x^3+2x^2+3x, & x>0\\ 3xe^x, & x\leq0\end{cases} Then ff is…MediumSingle correct
  2. 24 Feb 2021, Shift 2 · Q73Let f:R→Rf:\mathbf{R}\to\mathbf{R} be defined as…MediumSingle correct

Shifts: 24 Feb 2021, Shift 2, 22 Jul 2021, Shift 2.

Same topic

Other ideas in Monotonicity

Monotonicity has 12 ideas JEE Main has asked; 4 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas