Determine the Intervals Over Which the Function Is Increasing, Decreasing

question 445

Multiple Choice

Determine the intervals over which the function is increasing, decreasing, or constant.

• A)​constant on (-∞, 0) increasing on (0, ∞) ​
• B)increasing on (-∞, 0), (1, ∞) descreasing on (0, 1)
• C)​​constant on (-∞, 1) increasing on (1, ∞) ​
• D)​constant on (-∞, 1) descreasing on (1, ∞) ​
• E)​constant on (-∞, 0) descreasing on (0, 1) ​

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Definitions:

Benzene

A colorless, flammable liquid hydrocarbon with a distinct sweet smell, known for its carcinogenic properties and widespread use as a precursor in the manufacture of various chemicals.

Toluene

A colorless, water-insoluble liquid hydrocarbon with a sweet smell, used as an industrial solvent and in the production of benzene.

Stereogenic Center

An atom in a molecule, often carbon, that is connected to four different groups, giving rise to stereoisomers due to the spatial arrangement of these groups.