Use the X-Intercepts to Find the Intervals on Which the Graph

question 251

Multiple Choice

Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis.
- $$f ( x ) = ( x - 2 ) ^ { 2 } ( x + 4 ) ^ { 2 }$$

• A) above the \(x\)-axis: \(( - 4,2 )\)
• below the x-axis: \(( - \infty , - 4 ) , ( 2 , \infty )\)
• B) above the \(x\)-axis: no intervals
• below the x-axis: \(( - \infty , - 4 ) , ( - 4,2 ) , ( 2 , \infty )\)
• C) above the \(x\)-axis: \(( - \infty , - 4 ) , ( - 4,2 ) , ( 2 , \infty )\)
• below the \(x\)-axis: no intervals
• D) above the \(x\)-axis: \(( - \infty , - 4 ) , ( 2 , \infty )\)
• below the x-axis: \(( - 4,2 )\)

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Definitions:

MR Curve

In economics, the marginal revenue curve shows how marginal revenue varies as quantity produced changes, critical for profit maximization decisions in firms.

Marginal Cost

The expenditure involved in creating one more unit of a product or service.

Demand Curve

A diagram displaying the link between the value of an item and the quantity of that item that shoppers are eager and financially capable of purchasing at various cost points.

Monopolist

An individual or entity that has exclusive control over the production or sale of a product or service within a market, preventing competition.