Function/Piecewisely defined/1/Continuity/Exercise

We consider the function

${}f(x)={\begin{cases}1{\text{ for }}x\leq -1\,,\\x^{2}{\text{ for }}-1<x<2\,,\\-2x+7{\text{ for }}x\geq 2\,.\end{cases}}\,$

Determine the points ${}x\in \mathbb {R}$ where ${}f$ is

continuous.

Create a solution