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

question 106

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:

Workers

Individuals engaged in physical or intellectual labor to produce goods and services in exchange for wages.

Production Function

A mathematical model that describes the relationship between the inputs used in production and the output of goods or services.

Technically Efficient

A condition where a firm or economy utilizes the least amount of input resources to produce a given level of output.

Lowest Cost

Refers to the scenario where a good or service is produced and delivered at the minimum possible expense.