Activity $2$: One and Two sided Limits

$8.$ Use technology to graph the piecewise function $g(x)=\{\begin{array}{ccc}-x& if& x-1\\ 1-x^3& if& -1=1\end{array}$ and find the following limits if they exist.

Prime out your plot and once again, amend where needed. Here is a guide to assist with graphing piecowise functions in Desmos. Use the following:

$y=-x\{x-1\}$

$y=1-x^2\{-1=1\}$

$\backslash$table$[[\underset{x{1}^{-}}{lim}g(x{)}^{-},\underset{x{1}^{-}}{lim}g(x{)}^{-},\underset{x-1}{lim}g(x{)}^{-}$