Find the values of $\displaystyle {m}$ and $\displaystyle {b}$ that make $\displaystyle {f}$ continuous everywhere:

 $\displaystyle {f{{\left({x}\right)}}}={\left\lbrace\begin{array}{cc} \frac{{{3}+{2}{x}-{x}^{{2}}}}{{{x}+{1}}}&{\quad\text{if}\quad}{x}<-{1}\\{m}{x}+{b}&{\quad\text{if}\quad}-{1}\le{x}\le{2}\\{3}\cdot{2}^{{{2}-{x}}}+{19}&{\quad\text{if}\quad}{x}>{2}\end{array}\right.}$ 

When showing your work, be sure to include all limit calculations and a sketch of the graph.

$\displaystyle {m}=$ Preview Question 6 Part 1 of 2  
$\displaystyle {b}=$ Preview Question 6 Part 2 of 2