Find the Numbers at Which F Is Continuous $$f ( x ) = \left\{ \begin{aligned}7 x & \text { if } x < 6 \\41 & \text { if } x = 6 \\x ^ { 2 } + 6 & \text { if } x > 6\end{aligned} \right.$$

question 22

Multiple Choice

Find the numbers at which f is continuous. At which numbers is f discontinuous?
- $$f ( x ) = \left\{ \begin{aligned}7 x & \text { if } x < 6 \\41 & \text { if } x = 6 \\x ^ { 2 } + 6 & \text { if } x > 6\end{aligned} \right.$$

• A) continuous for all real numbers
• B) continuous for all real numbers except \(x = 7 , x = 6\)
• C) continuous for all real numbers except \(x = 6\)
• D) continuous for all real numbers except \(x = 0 , x = 6\)

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Definitions:

Activity Bases

Criteria or units of measure used to allocate costs in activity-based costing, reflecting the extent to which cost drivers are used or consumed.

Total Variable Cost

The sum of all costs that vary directly with the level of production or output.

Fixed Cost Per Unit

The total fixed costs of production divided by the number of units produced, decreasing as production volume increases.

Relevant Range

The level of activity within which the assumptions about fixed and variable costs in cost-volume-profit analysis remain valid.