Discuss the continuity of the function $f$, where $f$ is defined by $$f(x) = \left\{ \begin{array} {1 1} 3 ,& \quad\text{ if $ 0 $ \(\leq x\) \(\leq1\)}\\ 4,& \quad\text{if $ 1 $ < \(x\) < 3 }\\ 5 ,& \quad\text{ if $ 3 $ \(\leq x\) \(\leq10\)}\\ \end{array} \right.$$

Question

$\begin{array}{1 1} \text{f is not continuous at} x=-1 \;and \;x=3 \\ \text{f is continuous at}x=1\;and\;x=3 \\ \text{f is not continuous at} x=1 \;and\; x=3 \\ \text{Can not be determined} \end{array}$