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JEE Main 2026 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 4 April 2026, Shift 2, Maths Q22

Question 22 of 75 in this shift, Maths question 22 of 25, Section B.

Let

f(x)=\begin{cases}e^{x-1}, & x<0\\ x^2-5x+6, & x\ge0\end{cases}

and

g(x)=f(|x|)+|f(x)|

. If the number of points where

g

is not continuous and is not differentiable are

\alpha

and

\beta

respectively, then

\alpha+\beta

is equal to ________

Official answer

4

NTA final key.

Chapter: Continuity and Differentiability
Topic: Continuity and Differentiability
Idea tested: Differentiability of Modulus Functions

Same idea in other shifts

Asked 2× in all

31 Jan 2024, Shift 2 · Q8Consider the function $f:(0,\infty)\to\mathbb{R}$ defined by $f(x)=e^{-|\log_e x|}$ . If $m$ and $n$ be respectively the number of points…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.