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

question 16

Multiple Choice

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

• 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: \(\lim _ { x \rightarrow 2 } f ( x ) = - 4\)

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