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

question 88

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: \(\left( - \infty , - \frac { 1 } { 8 } \right) , ( 2 , \infty )\)
• 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:

Time Orientation

The way in which individuals or cultures perceive and value time, which can affect planning, punctuality, and the emphasis on past, present, or future events.

The Present

The current moment or period in time, distinguished from the past and the future.

The Future

An undefined period of time that has yet to occur, often considered in terms of the potential for positive or negative events.

Alcoholism

A chronic disease characterized by uncontrolled drinking and a preoccupation with alcohol.