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

question 206

Multiple Choice

Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis.
- $$f ( x ) = ( x - 3 ) ^ { 3 }$$

• A) above the \(x\)-axis: \(( 3 , \infty )\)
• below the \(x\)-axis: \(( - \infty , 3 )\)
• B) above the \(x\)-axis: \(( - \infty , 3 )\)
• below the \(x\)-axis: \(( 3 , \infty )\)
• C) above the \(x\)-axis: no intervals
• below the \(x\)-axis: \(( - \infty , 3 ) , ( 3 , \infty )\)
• D) above the \(x\)-axis: \(( - \infty , 3 ) , ( 3 , \infty )\)
• below the \(x\)-axis: no intervals

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Definitions:

Troposphere

The lowest layer of Earth's atmosphere where most of the planet's weather occurs, extending up to about 10 km above the surface.

Chemically Unreactive

Describes substances that do not easily undergo chemical reactions or change their chemical structure in the presence of other substances.

Reflectivity

The measure of the proportion of light or radiation that is reflected by a surface, often impacting climate and temperature.

Earth's Climate

The global patterns of weather and atmospheric conditions affecting the entire Earth, influenced by solar radiation, oceans, landforms, and human activity.