Determine Where the Function Is Increasing and Where It Is $$f ( x ) = x ^ { 2 } - 8 x$$

question 264

Multiple Choice

Determine where the function is increasing and where it is decreasing.
- $$f ( x ) = x ^ { 2 } - 8 x$$

• A) increasing on \(( - \infty , 4 )\)
• decreasing on \(( 4 , \infty )\)
• B) increasing on \(( - \infty , - 4 )\)
• decreasing on \(( - 4 , \infty )\)
• C) increasing on \(( 4 , \infty )\)
• decreasing on \(( - \infty , 4 )\)
• D) increasing on \(( - 4 , \infty )\)
• decreasing on \(( - \infty , - 4 )\)

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Definitions:

Long-Run

A period in economic theory during which all factors of production and costs are variable, allowing for full adjustment to changes.

Economic Profit

The gap between the total earnings of a business and all its costs, encompassing out-of-pocket and opportunity costs.

Perfect Competitor

A Perfect Competitor refers to a hypothetical firm in a perfectly competitive market that cannot influence the market price and must accept it as given.

Short Run

A period in economics during which some factors, like capital, are fixed and cannot be changed, emphasizing immediate effects.