Determine Where the Function Is Increasing and Where It Is $$f ( x ) = x ^ { 2 } - 4 x + 3$$

question 22

Multiple Choice

Determine where the function is increasing and where it is decreasing.
- $$f ( x ) = x ^ { 2 } - 4 x + 3$$

• A) increasing on \(( - 1 , \infty )\)
• decreasing on \(( - \infty , - 1 )\)
• B) increasing on \(( - \infty , - 1 )\)
• decreasing on \(( - 1 , \infty )\)
• C) increasing on \(( - \infty , 2 )\)
• decreasing on \(( 2 , \infty )\)
• D) increasing on \(( 2 , \infty )\)
• decreasing on \(( - \infty , 2 )\)

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Definitions:

3-Methylpentanoic Acid

An organic compound with the formula C6H12O2, known for its role in the flavoring of various foods and in perfumery.

Aqueous Extraction

A process of separating compounds based on their solubility in water, often used in the isolation and purification of substances from mixtures.

Mass Spectrum

A plot or representation showing the distribution of ionized species according to their mass-to-charge ratio, used to determine the molecular weight and structure of compounds.

McLafferty Rearrangement

A fragmentation reaction observed in mass spectrometry analysis, involving the transfer of a hydrogen atom via a six-membered transition state leading to the cleavage of a molecule.