Determine the Intervals for Which $x ^ { 2 } - 4 x - 45$

question 24

Multiple Choice

Determine the intervals for which $x ^ { 2 } - 4 x - 45$ is entirely negative and entirely positive.

• A)negative: \(( 5,9 )\) ; positive: \(( - \infty , 5 ) \cup ( 9 , \infty )\)
• B)negative: \(( - 5,9 )\) ; positive: \(( - \infty , - 9 ) \cup ( 5 , \infty )\)
• C)negative: \(( - 5,9 )\) ; positive: \(( - \infty , - 5 ) \cup ( 9 , \infty )\)
• D)negative: \(( 5,9 )\) ; positive: \(( - \infty , - 9 ) \cup ( 5 , \infty )\)
• E)negative: \(( - 9,5 )\) ; positive: \(( - \infty , - 9 ) \cup ( 5 , \infty )\)

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Definitions:

Penetrate

To enter or pierce through a substance, structure, or area, often implying a breach of a barrier or defense.

Host

An organism that harbors another organism, often providing nourishment and shelter to parasites.

Chlorophyte

Chlorophyte refers to green algae, a diverse group of photosynthetic organisms found in various aquatic environments, part of the eukaryotic kingdom Chlorophyta.

Seaweed

Multicellular algae that grow in marine or freshwater environments, often used as food or fertilizer.