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

Question

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

Examlex · Accepted Answer

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

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

Definitions:

Find a Value of C That Makes the Function Continuous f(x)={x2−4,x<0c,x=0−2(x−1)−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.f(x)=⎩⎨⎧​x2−4,c,−2(x−1)−6,​x<0x=0x>0​;x=0

Definitions:

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