Hard· Differentiability· +4 / −1Let f:R→Rf:\mathbb R\to\mathbb Rf:R→R be a function defined by: f(x)={maxt≤x{t3−3t},x≤2x2+2x−6,2<x<3[x−3]+9,3≤x≤52x+1,x>5f(x)=\begin{cases}\max\limits_{t\le x}\{t^3-3t\}, & x\le2\\ x^2+2x-6, & 2<x<3\\ [x-3]+9, & 3\le x\le5\\ 2x+1, & x>5\end{cases}f(x)=⎩⎨⎧t≤xmax{t3−3t},x2+2x−6,[x−3]+9,2x+1,x≤22<x<33≤x≤5x>5 where [t][t][t] is the greatest integer less than or equal to ttt. Let mmm be the number of points where fff is not differentiable and I=∫−22f(x) dxI=\displaystyle\int_{-2}^{2}f(x)\,dxI=∫−22f(x)dx. Then the ordered pair (m,I)(m,I)(m,I) is equal to :A(3,274)\left(3,\dfrac{27}{4}\right)(3,427)B(3,234)\left(3,\dfrac{23}{4}\right)(3,423)C(4,274)\left(4,\dfrac{27}{4}\right)(4,427)D(4,234)\left(4,\dfrac{23}{4}\right)(4,423)Check answerJust show me the answer
