Find the constant(s) c that make(s) the function $f ( x ) = \left\{ \begin{array} { l l }
c ^ { 2 } - x ^ { 2 } & \text { if } x

Question

Find the constant(s) c that make(s) the function $f ( x ) = \left\{ \begin{array} { l l } 
c ^ { 2 } - x ^ { 2 } & \text { if } x < 2 \
2 ( c - x ) & \text { if } x \geq 2
\end{array} \right.$ continuous on $( - \infty , \infty )$ .
A)-4, -2
B)2, 0
C)2
D)4
E)-2, 4
F)-2
G)0
H)Does not exist

Quizplus · Accepted Answer

The Answer of Find the constant(s) c that make(s) the function $f ( x ) = \left\{ \begin{array} { l l } 
c ^ { 2 } - x ^ { 2 } & \text { if } x < 2 \
2 ( c - x ) & \text { if } x \geq 2
\end{array} \right.$ continuous on $( - \infty , \infty )$ .
A)-4, -2
B)2, 0
C)2
D)4
E)-2, 4
F)-2
G)0
H)Does not exist

Find the Constant(s) C That Make(s) the Function f(x)={c2−x2 if x<22(c−x) if x≥2f ( x ) = \left\{ \begin{array} { l l } c ^ { 2 } - x ^ { 2 } & \text { if } x < 2 \\2 ( c - x ) & \text { if } x \geq 2\end{array} \right.f(x)={c2−x22(c−x)​ if x<2 if x≥2​

Find the Constant(s) C That Make(s) the Function $f ( x ) = \left\{ \begin{array} { l l } c ^ { 2 } - x ^ { 2 } & \text { if } x < 2 \\2 ( c - x ) & \text { if } x \geq 2\end{array} \right.$