009A Sample Midterm 3, Problem 2

Sketch the graph of $f.$ At each point of discontinuity, state whether $f$ is left or right continuous.

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle f(x)={\begin{array}{cc}{\Bigg \{}&{\begin{array}{cc}x^{3}+1&x\leq 0\\-x+1&0<x<2\\-x^{2}+10x-15&x\geq 2\end{array}}\end{array}}}