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

question 174

Multiple Choice

Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis.
- $$f ( x ) = \left( x + \frac { 1 } { 8 } \right) ^ { 2 } ( x - 2 ) ^ { 5 }$$

• A) above the \(x\)-axis: \(\left( - \frac { 1 } { 8 } , 2 \right)\)
• below the x-axis: \(\left( - \infty , - \frac { 1 } { 8 } \right) , ( 2 , \infty )\)
• B) above the x-axis: \(\left( - \infty , - \frac { 1 } { 8 } \right)\),
• below the \(x\)-axis: \(\left( - \frac { 1 } { 8 } , 2 \right)\)
• C) above the \(x\)-axis: \(\left( - \infty , - \frac { 1 } { 8 } \right) , \left( - \frac { 1 } { 8 } , 2 \right)\)
• below the \(x\)-axis: \(( 2 , \infty )\)
• D) above the \(x\)-axis: \(( 2 , \infty )\)
• below the \(x\)-axis: \(\left( - \infty , - \frac { 1 } { 8 } \right) , \left( - \frac { 1 } { 8 } , 2 \right)\)

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Definitions:

Price Increase

Refers to a situation where the cost of goods or services rises over a period of time.

Total Utility Data

Information that represents the total satisfaction received from consuming a certain amount of goods or services.

Money Income

The total amount of monetary earnings or receipts accruing to an individual or household before taxes and other deductions.

Rational Consumer

An individual who makes purchase decisions that maximize their utility, given their budget constraints.