Question: For the function
\[f\left( x \right)=\left\{ \begin{align} & 2\text{ }\,\,\,\,\,\,\,\,\,\,\,\,\,\text{if }x<0 \\ & -{{x}^{2}}+x\,\,\,\,\text{if 0}\le x\le 2 \\ & 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\text{if }x>2 \\ \end{align} \right.\](a) Graph in detail
(b) Find all values of x where the function is discontinuous.
(c) Find the limit from the left and right at any value of x found in part b.