1.
Let f:R→Rf: \mathbb{R} \to \mathbb{R} be a function defined by:
f(x)={max⁡t≤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 \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][t] is the greatest integer less than or equal to tt.
Let mm be the number of points where ff is not differentiable and I=∫−22f(x) dxI = \int_{-2}^{2} f(x) \, dx. Then the ordered pair (m,I)(m, I) is equal to: