Write an Equation for the Piecewise Function $f ( x ) = \left\{ \begin{array} { l l } 4 , & \text { for } x < - 1 \\x ^ { 3 } , & \text { for } x \geq - 1\end{array} \right.$

question 33

Multiple Choice

Write an equation for the piecewise function.
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• A) \(f ( x ) = \left\{ \begin{array} { l l } 4 , & \text { for } x < - 1 \\ x ^ { 3 } , & \text { for } x \geq - 1 \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { l l } 4 , & \text { for } x < - 1 \\ x ^ { 2 } - 1 , & \text { for } x \geq - 1 \end{array} \right.\)
• C) \(f ( x ) = \left\{ \begin{array} { l l } 4 , & \text { for } x < - 1 \\ x ^ { 3 } - 1 , & \text { for } x \geq - 1 \end{array} \right.\)
• D) \(f ( x ) = \left\{ \begin{array} { l l } 4 , & \text { for } x < - 1 \\ x ^ { 2 } , & \text { for } x \geq - 1 \end{array} \right.\)

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Definitions:

Product Differentiation

The process of distinguishing a product from others in the market to make it more attractive to a particular target market.

Brand Names

Distinctive names given to products or services by companies to differentiate them from competitors and build brand identity.

Packaging

The technology and art of enclosing or protecting products for distribution, storage, sale, and use.

Monopolistically Competitive

Describes a market structure where many firms sell products that are similar but not identical, allowing for significant differentiation and some degree of market power over prices.