Find the Power Function That the Graph of F Resembles $| \mathbf { x } |$

question 343

Multiple Choice

Find the power function that the graph of f resembles for large values of $| \mathbf { x } |$
- $$f ( x ) = ( x - 3 ) ^ { 3 }$$

• A) \(y = x ^ { - 3 }\)
• B) \(y = x ^ { 3 }\)
• C) \(y = x ^ { 9 }\)
• D) \(y = x ^ { - 27 }\)

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Definitions:

Monopolistic Competition

A market structure in which many firms sell products or services that are similar but not identical, allowing for some degree of market power and product differentiation.

Non-price Competition

A strategy where businesses compete on factors not related to price, such as product quality, service, or brand reputation.

Horizontal Demand Curve

A horizontal demand curve represents a situation in economics where the demand for a product is perfectly elastic, meaning consumers would buy an infinite quantity at a certain price but none if the price increases.

Long-run Equilibrium

A state in economics where all factors of production and economic inputs are fully utilized, leading to a steady-state economy with no tendency for change in the absence of external shocks.