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Select the Correct Graph for the Following Function and Find f(x)={4x,x2x28x+1,x>2f ( x ) = \left\{ \begin{array} { l } - 4 x , x \leq 2 \\x ^ { 2 } - 8 x + 1 , x > 2\end{array} \right.

Question 16

Multiple Choice

Select the correct graph for the following function and find the limit (if it exists) as x approaches 2. f(x) ={4x,x2x28x+1,x>2f ( x ) = \left\{ \begin{array} { l } - 4 x , x \leq 2 \\x ^ { 2 } - 8 x + 1 , x > 2\end{array} \right.


A)  Select the correct graph for the following function and find the limit (if it exists) as x approaches 2.   f ( x )  = \left\{ \begin{array} { l }  - 4 x , x \leq 2 \\ x ^ { 2 } - 8 x + 1 , x > 2 \end{array} \right.    A)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = - 8  B)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = 8  C)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = 4  D)      \lim _ { x } f ( x )  \text { does not exist }  E)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = - 4 The limit exists as x approaches 2: limx2f(x) =8\lim _ { x \rightarrow 2 } f ( x ) = - 8
B)  Select the correct graph for the following function and find the limit (if it exists) as x approaches 2.   f ( x )  = \left\{ \begin{array} { l }  - 4 x , x \leq 2 \\ x ^ { 2 } - 8 x + 1 , x > 2 \end{array} \right.    A)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = - 8  B)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = 8  C)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = 4  D)      \lim _ { x } f ( x )  \text { does not exist }  E)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = - 4 The limit exists as x approaches 2: limx2f(x) =8\lim _ { x \rightarrow 2 } f ( x ) = 8
C)  Select the correct graph for the following function and find the limit (if it exists) as x approaches 2.   f ( x )  = \left\{ \begin{array} { l }  - 4 x , x \leq 2 \\ x ^ { 2 } - 8 x + 1 , x > 2 \end{array} \right.    A)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = - 8  B)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = 8  C)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = 4  D)      \lim _ { x } f ( x )  \text { does not exist }  E)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = - 4 The limit exists as x approaches 2: limx2f(x) =4\lim _ { x \rightarrow 2 } f ( x ) = 4
D)  Select the correct graph for the following function and find the limit (if it exists) as x approaches 2.   f ( x )  = \left\{ \begin{array} { l }  - 4 x , x \leq 2 \\ x ^ { 2 } - 8 x + 1 , x > 2 \end{array} \right.    A)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = - 8  B)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = 8  C)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = 4  D)      \lim _ { x } f ( x )  \text { does not exist }  E)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = - 4 limxf(x)  does not exist \lim _ { x } f ( x ) \text { does not exist }
E)  Select the correct graph for the following function and find the limit (if it exists) as x approaches 2.   f ( x )  = \left\{ \begin{array} { l }  - 4 x , x \leq 2 \\ x ^ { 2 } - 8 x + 1 , x > 2 \end{array} \right.    A)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = - 8  B)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = 8  C)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = 4  D)      \lim _ { x } f ( x )  \text { does not exist }  E)     The limit exists as x approaches 2:  \lim _ { x \rightarrow 2 } f ( x )  = - 4 The limit exists as x approaches 2: limx2f(x) =4\lim _ { x \rightarrow 2 } f ( x ) = - 4

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