Given the Following Information About Limits, Sketch a Graph Which

question 82

Essay

Given the following information about limits, sketch a graph which could be the graph of y = f (x). Label all horizontal and vertical asymptotes. $$\begin{array} { c } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = - 1 , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = - \infty \\\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 2 ^ { - } } f ( x ) = \infty , \text { and } f = ( 0 ) = 1\end{array}$$

---

Definitions:

Jay's Treaty

A 1795 treaty between the United States and Great Britain that averted war, resolved issues remaining since the Treaty of Paris of 1783, and facilitated ten years of peaceful trade between the United States and Britain.

Neutrality Policy

A foreign policy stance whereby a country seeks to avoid alliances and conflicts with other nations, maintaining a position of neutrality in international affairs.

Whiskey Rebellion

A tax protest in the United States in the 1790s, during which settlers in the Pennsylvania frontier resisted a federal liquor tax.

Federal Military

The combined armed forces of a federal nation, including the army, navy, air force, and sometimes other branches, under the control of a national government.