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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Definitions:

Z-score

A numerical indicator that shows how a specific value compares to the average of a set of values by measuring the number of standard deviations it is from the mean.

Position

The rank or specific role an individual occupies or holds within a structure or organization.

Area

A quantification of the size of a 2D shape or surface, represented in units squared.

Standard Normal Curve

The standard normal curve is a type of normal curve with a mean of 0 and a standard deviation of 1, used as a reference in probability and statistics.