Find the Open Intervals on Which the Function Is Increasing

question 194

Multiple Choice

Find the open intervals on which the function is increasing and decreasing. Identify the function's local and absolute extreme values, if any, saying where they occur.
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• A) increasing on (-3, 3); decreasing on (0, 6); absolute maximum at (3, 3); absolute minimum at (-3, -3)
• B) increasing on (-3, 3); decreasing on (-6, -3) and (3, 6); absolute maximum at (3, 3); absolute minimum at (-3, -3)
• C) increasing on (-3, 3); decreasing on (-6, 0); absolute maximum at (3, 3); absolute minimum at (-3, -3)
• D) increasing on (-3, 3); decreasing on (-6, -3) and (3, 6); no absolute maximum; no absolute minimum

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Definitions:

Cost Curves

Graphical representations used in economics to show the total cost of producing different quantities of output, helping businesses determine optimal production levels.

Average Fixed

Assuming it's intended as "Average Fixed Costs," it is the fixed costs divided by the quantity of output, representing the cost per unit that does not change with the level of production.

Average Total

Typically refers to the average total cost, which is the total cost of production divided by the number of goods produced.

Total Variable

Expenses that change in proportion to the activity of a business, such as costs of goods sold, which vary with the level of production or sales volume.