Solution
For the rational function given, we are to determine the local an end behaviors.
[tex]\begin{gathered} As\text{ }x\rightarrow-3^-,f(x)\rightarrow\infty \\ As\text{ }x\operatorname{\rightarrow}-3^+,f(x)\operatorname{\rightarrow}\infty \\ As\text{ }x\operatorname{\rightarrow}-\infty,f(x)\operatorname{\rightarrow}-1 \\ As\text{ }x\rightarrow\infty,f(x)\rightarrow-1 \end{gathered}[/tex]
These are the correct local and end behaviors
