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

question 83

Multiple Choice

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

• A) \(c = 1\)
• B) \(c = 5\)
• C) \(c = - 2\)
• D) \(c = - 5\)
• E) \(c = 2\)

Understand gender differences in prosocial behavior.

Knowledge of factors influencing volunteering behavior.

Understand different therapeutic approaches and their appropriateness for various psychological issues.

Recognize the principles of operant and classical conditioning as they apply to therapeutic contexts.

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The condition or quality of being self-reliant and free from the control or influence of others.

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The quality of being reliable, dependable, and deserving of trust.

Demonstrates Flexibility

The ability to adapt to new, different, or changing requirements and situations with an open mind and an innovative approach.