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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Definitions:

EST's

Short for Empirically Supported Treatments, which refers to therapies that have been scientifically tested and proven to be effective.

Theoretical Orientation

The philosophical approach or school of thought that informs a therapist's understanding of client issues and methods of intervention.

Efficacious Treatments

Therapeutic interventions and procedures that have been proven through rigorous testing and research to be effective in curing or alleviating diseases or disorders.

EST's

Abbreviation for Empirically Supported Treatments; these are therapies scientifically proven to be effective for specific disorders.