Is the function f defined by $f(x) = \left\{\begin{array}{l l} x, & \quad \text{if $x$ \( \leq \) 1}\\ 5, & \quad \text{if $x$ > 1}\\ \end{array} \right.$ continuous at $(x = 0)$? At $(x = 1)$? At $(x = 2)$?

Question

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