$\text { Find all values of } c \text { such that } f \text { is continuous on } ( - \infty , \infty ) \text {. }$

question 49

Multiple Choice

$\text { Find all values of } c \text { such that } f \text { is continuous on } ( - \infty , \infty ) \text {. }$ $$f ( x ) = \left\{ \begin{array} { l l } 4 - x ^ { 2 } , & x \leq c \\x , & x > c\end{array} \right.$$

• A) \(c = 3\)
• B) \(c = 0\)
• C) \(\frac { - 1 + \sqrt { 17 } } { 2 }\)
• D) \(\frac { 1 + \sqrt { 17 } } { 2 } , \frac { 1 - \sqrt { 17 } } { 2 }\)
• E) \(\frac { - 1 + \sqrt { 17 } } { 2 } , \frac { - 1 - \sqrt { 17 } } { 2 }\)

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