2019 ASRJC P1 Q6

A function \(\mathrm{f}\) is defined by

\(\mathrm{f}(x)\left\{ \begin{matrix}\frac{6}{x-4}\,\,\,\,\,\,\,\,\,\,\mathrm{for }x<-2, & \\-\left| 1+x \right|\,\,\,\,\,\,\,\,\,\,\mathrm{for}\,-2\le x<1, & \\{{x}^{2}}-x-2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\mathrm{for}\,x>1. & \end{matrix} \right.\)

1. Sketch the graph of \(\mathrm{f}\).[3]
2. Evaluate exactly \(\displaystyle\displaystyle \displaystyle\int_{-3}^{4}{\left| \mathrm{f}(x) \right|\mathrm{d}x}\).[4]