For What Value of the Constant $c$ Is the Function $f$ Continuous On

question 105

Short Answer

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

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System

A set of interacting or interdependent components forming an integrated whole to serve a common purpose.

Average Number

The sum of values divided by the count of values, used to find the central or typical value in a set of numbers.

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