$(6)$ Sketch a graph of a function, $f,$ that has the following properties:

$\underset{x-}{lim}f(x)=$

$f^{\text{'}}(x)<mn>0</mn>$ and $f^{\text{'}\text{'}}(x)>0$ on $(-,-2)$

$\underset{x-2^{-}}{lim}f(x)=-5$ and $\underset{x-2^{+}}{lim}f(x)=0$

$f^{\text{'}}(1)=0$ and inflection point at $x=1$

$f(7)=0$

$\underset{x{4}^{-}}{lim}f(x)=$ and $\underset{x{4}^{+}}{lim}f(x)=-$

$f^{\text{'}}(x)>0$ and $f^{\text{'}\text{'}}(x)<mn>0</mn>$ on $(4,)$

$\underset{x}{lim}f(x)=2$