Use a Graphing Utility to Graph the Function Over the Indicated

question 92

Multiple Choice

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two
decimal places.
- $f ( x ) = x ^ { 3 } - 3 x ^ { 2 } + 1 , ( - 1,3 )$

• A)local maximum at (2, -3)
• local minimum at (0, 1)
• increasing on (-1, 0)
• decreasing on (0, 2)
• B)local maximum at (0, 1)
• local minimum at (2, -3)
• increasing on (-1, 0) and (2, 3)
• decreasing on (0, 2)
• C)local maximum at (2, -3)
• local minimum at (0, 1)
• increasing on (-1, 0) and (2, 3)
• decreasing on (0, 2)
• D)local maximum at (0, 1)
• local minimum at (2, -3)
• increasing on (0, 2)
• decreasing on (-1, 0) and (2, 3)

Recognize the importance of environmental factors and community infrastructure in disease prevention.

Understand the historical development of public health initiatives and their impact on community health.

Analyze the role of government and non-governmental organizations in the advancement of public health.

Identify key figures and their contributions to public health and nursing.

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Definitions:

Equivalent Units

A concept in cost accounting used to apportion costs to partially completed goods, calculated by taking the number of partially completed units and converting them into a number of equivalent fully completed units.

Conversion Costs

The sum of direct labor and manufacturing overhead costs, incurred to convert raw materials into finished goods.

Total Manufacturing Costs

This encompasses all the direct materials, direct labor, and factory overhead costs involved in producing goods.

Units Transferred Out

In cost accounting, it refers to the number of units moved from one production process to the next or to the finished goods inventory.