$\begin{array}{1 1} \text{Yes, continuous at x = 0 ,1 and 2}\\ \text{Yes, continuous at x = 0 and 1 and discontinuous at x = 2} \\ \text{Yes, continuous at x = 1 and 2 and discontinuous at x = 0} \\ \text{Yes, continuous at x = 0 and 2 and discontinuous at x = 1} \end{array} $