Find all points of discontinuity of $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} x + 1,& \quad\text{ if $ x $ \(\geq 1\)}\\ x^2+1,& \quad \text{if $x$ < 1}\\ \end{array} \right.$

Question

$\begin{array}{1 1} \text{The point of discontinuity is} x=2 \\ \text{The point of discontinuity is} x=1 \\ \text{The point of discontinuity is}x=0 \\ \text{There is no point of discontinuity at any point} x\in R \end{array}$