Identify the Function's Local and Absolute Extreme Values, If Any $$f ( x ) = x ^ { 3 } + 9 x ^ { 2 } + 27 x - 3$$

question 109

Multiple Choice

Identify the function's local and absolute extreme values, if any, saying where they occur.
- $$f ( x ) = x ^ { 3 } + 9 x ^ { 2 } + 27 x - 3$$

• A) local maximum at \(x = - 3\)
• B) local minimum at \(x = - 3\)
• C) local maximum at \(x = - 3\); local minimum at \(x = 3\)
• D) no local extrema

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Definitions:

Periodic Inventory System

An inventory system that updates the count and valuation of stock at specific intervals, rather than continuously.

LIFO Method

An inventory costing method that assumes the last items placed in inventory are sold first, used for both inventory valuation and cost of goods sold calculation.

Cost of Goods Sold

Costs directly related to the fabrication of goods a business sells, incorporating both materials and labor.

LIFO Inventory Valuation

An inventory costing method that assumes the last items placed in inventory are the first ones sold.