Find a Value of C That Makes the Function Continuous $f ( x ) = \left\{ \begin{array} { c l } - 5 x + 4 , & x < 0 \\c , & x = 0 \\- 3 x - 3 , & x > 0\end{array} ; x = 0 \right.$

question 48

Multiple Choice

Find a value of c that makes the function continuous at the given value of x. If it is impossible, state this.
- $f ( x ) = \left\{ \begin{array} { c l } - 5 x + 4 , & x < 0 \\c , & x = 0 \\- 3 x - 3 , & x > 0\end{array} ; x = 0 \right.$

• A) Imposs ible
• B) 4
• C) -5
• D) 5

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Definitions:

Unconditioned Response

An automatic, natural response to a stimulus that occurs without prior learning or conditioning.

Conditioned Stimulus

A previously neutral stimulus that, after being paired with an unconditioned stimulus, elicits a conditioned response.

Unlearned Reaction

A natural, instinctive response to a stimulus that occurs without the need for prior learning or experience.

Reflexive Reaction

An automatic, involuntary response to a stimulus.