Find a Value of C That Makes the Function Continuous $$f ( x ) = \left\{ \begin{array} { c c } x ^ { 2 } - 4 , & x < 0 \\c , & x = 0 \\- 2 ( x - 1 ) - 6 , & x > 0\end{array} ; x = 0 \right.$$

question 204

Multiple Choice

Find a value of c that makes the function continuous at the given value of x. If it is impossible, state this.
- $$f ( x ) = \left\{ \begin{array} { c c } x ^ { 2 } - 4 , & x < 0 \\c , & x = 0 \\- 2 ( x - 1 ) - 6 , & x > 0\end{array} ; x = 0 \right.$$

• A) -2
• B) -4
• C) Impossible
• D) 4

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Definitions:

Narrative Therapy

A form of psychotherapy that centers on the client's narrative or story as a means to examine and resolve problematic situations.

Narrative Empathy

The capacity to understand and share the feelings of another person through engagement with narratives or stories.

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Psychological treatments grounded in the belief that individuals construct their own understanding of the world, and therapists help clients identify and adjust these constructions.

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Methods or interventions that have been scientifically tested and proven to be effective.