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

question 60

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:

Cultural Intelligence

The ability to understand, respect, and work effectively with individuals from diverse cultural backgrounds.

Proxemics

Delving into the utilization of space by humans and the impact that the level of population density exerts on their behavioral patterns, communicative exchanges, and social interactions.

Physical Space

The tangible, three-dimensional environment in which objects and events occur and interact.

Tight Cultures

Societies or organizations that have strict norms and a low tolerance for deviant behavior, leading to more uniformity in social conduct.