009A Sample Midterm 3, Problem 2

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

$f(x)={\begin{array}{cc}{\Bigg \{}&{\begin{array}{cc}x^{3}+1&x\leq 0\\-x+1&0<x<2\\-x^{2}+10x-15&x\geq 2\end{array}}\end{array}}$

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