$2)$ Given the following graph of the function $\backslash ($ g$($x$)\backslash )$ below, fill in your best estimates of the missing values in the table below.

Hint: To get approximations for values of the derivative, first, physically draw the tangent lines at the indicated points.

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$l$|$l$|$l$|$l$|$l$|\}$

$\backslash$hline$\backslash ($ x $\backslash )$ & $-3$ & $-2$ & $-1$ & $0$ & $1$ & $2\backslash \backslash$

$\backslash$hline$\backslash ($ g$($x$)\backslash )$ & & & & & & $\backslash \backslash$

$\backslash$hline$\backslash ($ g$^\{\backslash$prime$\}($x$)\backslash )$ & & & & & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$