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

Question 83

Multiple Choice

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.
Select the correct answer.


A) c=1c = 1
B) c=5c = 5
C) c=2c = - 2
D) c=5c = - 5
E) c=2c = 2

Correct Answer:

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