Given the Following Information About Limits, Sketch a Graph Which

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. $$\begin{array} { c } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = - 1 , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = - \infty \\\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 2 ^ { - } } f ( x ) = \infty , \text { and } f = ( 0 ) = 1\end{array}$$