Find the Domain and the Range of the Relation $\text { Domain: } ( - \infty , \infty ) \text {; range: } ( - \infty , \infty )$

question 159

Multiple Choice

Find the domain and the range of the relation.
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• A) Domain: [0,4] ; range: [0,2]
• B) Domain: [-4,4] ; range: [-2,2]
• C) \(\text { Domain: } ( - \infty , \infty ) \text {; range: } ( - \infty , \infty )\)
• D) Domain: [-2,2] ; range: [-4,4]

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Definitions:

Carbonyl Stretching Frequency

Refers to the specific vibration frequency observed in infrared spectroscopy for the carbon-oxygen double bond in carbonyl groups, typically around 1650 to 1750 cm^-1.

Esters

Organic compounds derived from carboxylic acids in which the hydrogen of the carboxyl group is replaced by a hydrocarbon group, often responsible for the sweet or fruity aromas and flavors of many fruits and flowers.

Aldehydes

Organic compounds characterized by a carbonyl group bonded to at least one hydrogen atom, making them highly reactive.

Carboxylic Acid Derivative

Compounds obtained by substituting the hydroxyl group in carboxylic acids with other functional groups like halides, amides, or esters.