Use the Graph to Determine the Domain and Range of the Function

question 164

Multiple Choice

Use the graph to determine the domain and range of the function.
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• A) domain: \(\{ x \mid x \neq 0 \}\) range: \(\{ y \mid y \leq - 6\) or \(y \geq 6 \}\)
• B) domain: all real numbers range: \(\{ y \mid y \leq - 6\) or \(y \geq 6 \}\)
• C) domain: \(\{ x \mid x \leq - 6\) or \(x \geq 6 \}\) range: \(\{ y \mid y \neq 0 \}\)
• D) domain: \(\{ x \mid x \neq 0 \}\) range: all real numbers

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Definitions:

E2 Mechanism

The E2 mechanism is a bimolecular eliminative reaction in organic chemistry where a hydrogen atom is removed from a β-carbon as a leaving group departs, forming a double bond.

Stereochemistry

The branch of chemistry concerned with the spatial arrangement of atoms in molecules and the impact of this arrangement on chemical reactions and properties.

2-Bromo-2-methylpentane

An organic compound consisting of a six-carbon chain with a bromo substituent and a methyl group both located on the second carbon atom.

Potassium Tert-butoxide

A strong, non-nucleophilic base used in organic synthesis to deprotonate compounds.