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:

Economic Growth

An increase in the amount of goods and services produced per head of the population over a period of time.

Population Growth

Population growth refers to the increase in the number of individuals in a population, commonly measured as the percentage change in population over a specific period.

Permanent Underclass

A social group within a society that is persistently at the bottom of the socioeconomic hierarchy, often facing systemic barriers to upward mobility.

Productivity

The assessment of how effectively a person, machine, factory, or system transforms inputs into valuable outputs.