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Find a Value of C That Makes the Function Continuous f(x)={x24,x<0c,x=02(x1)6,x>0;x=0f ( x ) = \left\{ \begin{array} { c c } x ^ { 2 } - 4 , & x < 0 \\c , & x = 0 \\- 2 ( x - 1 ) - 6 , & x > 0\end{array} ; x = 0 \right.

Question 204

Multiple Choice

Find a value of c that makes the function continuous at the given value of x. If it is impossible, state this.
- f(x) ={x24,x<0c,x=02(x1) 6,x>0;x=0f ( x ) = \left\{ \begin{array} { c c } x ^ { 2 } - 4 , & x < 0 \\c , & x = 0 \\- 2 ( x - 1 ) - 6 , & x > 0\end{array} ; x = 0 \right.


A) -2
B) -4
C) Impossible
D) 4

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