Use a Graphing Calculator to Find the Coordinates of the Turning

question 332

Multiple Choice

Use a graphing calculator to find the coordinates of the turning points of the graph of the polynomial function in the indicated domain interval. Give answers to the nearest hundredth.
- $$f ( x ) = - x ^ { 4 } + 29 x ^ { 2 } - 100 ; [ 3,4 ]$$

• A) \(( 3.81,110.25 )\)
• B) \(( 5,887.50 )\)
• C) \(( 0,100 )\)
• D) \(( - 4,110.25 )\)

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Definitions:

Average Total Cost

The total cost of production divided by the number of units produced, representing the cost per unit.

Total Cost Curve

A graphical representation of the total cost of production at various levels of output, showing the relationship between cost and quantity produced.

Origin

The point at which something begins or arises, often used in various contexts such as the origins of a concept, product, or phenomenon.

Fixed Costs

Expenses that do not change with the level of production or sales, such as rent, salaries, or insurance premiums.