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:

Independent Variables

Variables in an experiment or study that are manipulated or controlled by the researcher to investigate their effects on dependent variables.

Dependent Variable

The factor in a study or experiment that is anticipated to vary as a result of alterations in the independent variable.

Explained Variation

The portion of the total variation in a dataset that is accounted for by the model's predictions.

Random Error Term

Represents unexplained variability within a statistical model, capturing the random variance that is not accounted for by the explanatory variables.