JEE Main 2022 (29 Jun, Shift 1) Maths Q4: Let be a…

Question

Let $f: \mathbf{R} 	o \mathbf{R}$ be a function defined by :
$f(x) = \begin{cases} \max_{t \le x}\{t^3 - 3t\} & ; \; x \le 2 \ x^2 + 2x - 6 & ; \; 2 < x < 3 \ [x - 3] + 9 & ; \; 3 \le x \le 5 \ 2x + 1 & ; \; x > 5 \end{cases}$
where $[t]$ is the greatest integer less than or equal to $t$. Let $m$ be the number of points where $f$ is not differentiable and $I = \int_{-2}^{2} f(x)\,dx$. Then the ordered pair $(m, I)$ is equal to :

Accepted Answer

Option 3: $\left(4, \frac{27}{4}\right)$

Answer

$\left(3, \frac{27}{4}\right)$

Answer

$\left(3, \frac{23}{4}\right)$

Answer

$\left(4, \frac{27}{4}\right)$

Answer

$\left(4, \frac{23}{4}\right)$

JEE Main 29 June 2022, Shift 1, Maths Q4

Same idea in other shifts