Use the Quadratic Function to Determine If the Function Has $$f ( x ) = - x ^ { 2 } - 4 x - 7$$

question 248

Multiple Choice

Use the quadratic function to determine if the function has a maximum or minimum value and then find this maximum or minimum value.
- $$f ( x ) = - x ^ { 2 } - 4 x - 7$$

• A) maximum at (-2,-3)
• B) minimum at \(( 3,0 )\)
• C) minimum at \(( 0,2 )\)
• D) maximum at \(( 3,2 )\)

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Definitions:

Average Total Cost

The total cost of production divided by the quantity produced, indicating the cost effectiveness of producing goods.

Marginal Cost Increases

The rise in the cost to produce one additional unit of a good or service.

Marginal Product

The additional output that is produced as a result of adding one more unit of a specific input, holding all other inputs constant.

Total Cost

The overall expense incurred in the production of goods or services, combining both fixed and variable costs.