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Use a Graph to Determine Whether the Function Is Continuous g(x)={5x+2 if x<02x+2 if x0g ( x ) = \left\{ \begin{array} { l l } 5 x + 2 & \text { if } x < 0 \\2 x + 2 & \text { if } x \geq 0\end{array} \right.

question 68

Short Answer

Use a graph to determine whether the function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity.
g(x)={5x+2 if x<02x+2 if x0g ( x ) = \left\{ \begin{array} { l l } 5 x + 2 & \text { if } x < 0 \\2 x + 2 & \text { if } x \geq 0\end{array} \right.


Definitions:

Fixed Ordering Cost

The constant expense associated with placing an order, regardless of the order size, including administrative expenses and fees.

Material Cost

The expense incurred in acquiring the raw materials needed to produce a good, often a significant portion of total production costs.

Holding Cost

The expenses associated with storing unsold goods, including storage, insurance, and deteriorating costs.

Purchase Price

The amount of money paid to acquire a product or service.

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