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

question 317

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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Dominant Power

Refers to the institution, group, or nation that holds the most authority and capability to exert influence over others within a given context.

Dominant Theoretical Paradigm

The prevailing set of theories, assumptions, and methodologies that form the mainstream understanding within a scientific or academic discipline.

Ethnomethodology

A sociological approach focusing on how people use everyday conversation and gestures to construct a common sense of reality.

Phenomenology

A philosophical movement that emphasizes the direct study of experience and consciousness to understand the essence of phenomena.