$(24$ points$)$ Draw a graph of a single function $g(x)$ which satisfies all of the listed properties.

$\underset{x{5}^{-}}{lim}g(x)=2$

$\underset{x{5}^{+}}{lim}g(x)=$

$\underset{x}{lim}g(x)=-3$

$g(x)$ is continuous at $x=-1$

$g(x)$ is not differentiable at $x=-1$

$g(x)$ has a local maximum at $x=7$

$g(x)$ has a global minimum at $x=-3$

$g(x)$ is concave up on $(7,)$