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For What Value of the Constant cc Is the Function ff Continuous On

Question 138

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For what value of the constant cc is the function ff continuous on (,)?( - \infty , \infty ) ?
f(x)={cx+5 for x2cx25 for x>2f ( x ) = \left\{ \begin{array} { l l l } c x + 5 & \text { for } & x \leq 2 \\c x ^ { 2 } - 5 & \text { for } & x > 2\end{array} \right.

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