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

question 293

Multiple Choice

Use the x-intercepts to find the intervals on which the graph of f is above and below the x-axis.
- $$f ( x ) = ( x - 2 ) ^ { 2 } ( x + 4 ) ^ { 2 }$$

• A) above the \(x\)-axis: \(( - 4,2 )\)
• below the \(x\)-axis: \(( - \infty , - 4 ) , ( 2 , \infty )\)
• B) above the \(x\)-axis: no intervals
• below the \(x\)-axis: \(( - \infty , - 4 ) , ( - 4,2 ) , ( 2 , \infty )\)
• C) above the \(x\)-axis: \(( - \infty , - 4 ) , ( - 4,2 ) , ( 2 , \infty )\)
• below the \(x\)-axis: no intervals
• D) above the \(x\)-axis: \(( - \infty , - 4 ) , ( 2 , \infty )\)
• below the \(x\)-axis: \(( - 4,2 )\)

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Definitions:

Enucleation

The surgical removal of an organ or tumor, often used to refer to the removal of the eyeball without damaging surrounding tissues.

Rupture

The tearing apart or bursting of a structure or organ.

Amblyopia

A vision development disorder where an eye fails to achieve normal visual acuity, often referred to as "lazy eye."

Dullness

A lack of sharpness or liveliness; bluntness in sensation, sound, or pain, often associated with medical examinations.