Give a Rule for the Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} \right.$

question 16

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} \right.\); Domain: \([ 2,4 \}\), Range: \(( * - 3 ] \cup ( 4 , \infty )\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} ; \right.\) Domain: \(\{ 2,4 \}\), Range: \(( \infty - 3 ) \cup [ 4 , \infty )\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} ; \right.\) Domain: \(( \infty - 3 ] \cup ( 4 , \infty )\), Range: \(\{ 2,4 \}\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right.\); Domain: \(( \infty - 3 ) \cup [ 4 , \infty )\), Range: \(\{ 2,4 \}\)

Determine the cost of a product based on its selling price and markup percentage.

Calculate markup percentages based on cost and selling price.

Analyze real-world business scenarios to apply markup principles.

Distinguish between markup based on cost and markup based on selling price.

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Definitions:

Major Product

The substance that is formed in the greatest quantity in a chemical reaction, as determined by reaction pathways and conditions.

Regio-

A prefix in chemistry indicating the region or specific position within a molecule where a reaction takes place.

Stereochemical Detail

Information about the spatial arrangement of atoms within molecules, important for understanding the behavior and reactivity of different isomers.

Alkyl Halide

Organic compounds containing a halogen atom replacing a hydrogen atom in an alkyl group.