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

question 26

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

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