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

Multiple Choice

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