Determine the Maximum Number of Turning Points of F $$f ( x ) = ( x - 4 ) ^ { 3 }$$

question 57

Multiple Choice

Determine the maximum number of turning points of f.
- $$f ( x ) = ( x - 4 ) ^ { 3 }$$

• A) above the \(x\)-axis: \(( 4 , \infty )\)
• below the \(x\)-axis: \(( - \infty , 4 )\)
• B) above the \(x\)-axis: \(( - \infty , 4 ) , ( 4 , \infty )\)
• below the \(x\)-axis: no intervals
• C) above the x-axis: no intervals
• below the \(x\)-axis: \(( - \infty , 4 ) , ( 4 , \infty )\)
• D) above the \(x\)-axis: \(( - \infty , 4 )\)
• below the \(x\)-axis: \(( 4 , \infty )\)

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Definitions:

Monopolistic Producer

A company or entity that is the sole supplier of a particular product or service, giving it significant control over market price and production.

Monopolistic Distributor

A market scenario where a single distributor controls the majority of the supply of a particular product, thereby having significant influence over its distribution and pricing.

Monopolistic Producer

A single producer or a company that has exclusive control over the supply of a particular good or service, making it the only entity in the market capable of determining price and output levels.

Marginal Cost

The expense incurred from the manufacture of an extra single unit of a product or service.