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Given the Following Information About Limits, Select a Graph Which

Question 55

Multiple Choice

Given the following information about limits, select a graph which could be the graph of y = f (x) . $\begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\\quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\\end{array}$

A)
$Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)$
B)
$Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)$
C)
$Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)$
D)
$Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)$
E)
$Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)$
F)
$Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)$
G)
$Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)$
H)
$Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)$

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