Find the Domain and Range of the Function $$f ( x ) = - 5 x ^ { 2 } - 80 x - 324$$

question 105

Multiple Choice

Find the domain and range of the function.
- $$f ( x ) = - 5 x ^ { 2 } - 80 x - 324$$

• A) Domain: \(( - \infty , - 4 ] ;\) Range: \([ 0 , \infty )\)
• B) Domain: \(( - \infty , \infty )\); Range: \(( - \infty , 8 ]\)
• C) Domain: \(( - \infty , \infty )\); Range: \(( - \infty , - 4 ]\)
• D) Domain: \(( - \infty , - 4 ]\); Range: \([ 8 , \infty )\)

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Definitions:

Margin of Safety

The difference between actual or projected sales and the break-even point, indicating the level of risk in missing sales projections.

Break-even Sales

The amount of revenue needed to cover total costs, both fixed and variable, indicating the point at which a company neither makes a profit nor incurs a loss.

Margin of Safety

The difference between actual or projected sales and the sales level necessary to break even, as a buffer against uncertainty.

Contribution Margin

The difference between sales revenue and variable costs of a product or service, indicating how much contributes towards covering fixed costs and profit.