Question

Check PictureThe graph of the rational function f(x) is shown below. Using the graph, determine which of the following local and end behaviors are correct.

Answer 1

Solution

For the rational function given, we are to determine the local an end behaviors.

$\begin{gathered} As\text{ }x\rightarrow-3^-,f(x)\rightarrow\infty \\ As\text{ }x\operatorname{\rightarrow}-3^+,f(x)\operatorname{\rightarrow}\infty \\ As\text{ }x\operatorname{\rightarrow}-\infty,f(x)\operatorname{\rightarrow}-1 \\ As\text{ }x\rightarrow\infty,f(x)\rightarrow-1 \end{gathered}$

These are the correct local and end behaviors