Given the Following Information About Limits, Sketch a Graph Which

question 6

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. $$\begin{array} { l l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 1 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\\lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \quad\quad f = ( 0 ) = - 1\end{array}$$

---

Definitions:

Analytical Skills

The ability to identify relevant issues, recognize their importance, understand the relationships between them, and perceive the underlying causes of a situation.