Find the Power Function That the Graph of F Resembles $$f ( x ) = ( x - 3 ) ^ { 3 }$$

question 180

Multiple Choice

Find the power function that the graph of f resembles for large values of |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:

Utils

A hypothetical unit of measurement used in economics to quantify utility or satisfaction gained from consuming a good or service.

Process Innovation

The implementation of a new or significantly improved production or delivery method in business operations.

Economies of Scale

Cost advantages that enterprises obtain due to their scale of operation, with cost per unit of output generally decreasing with increasing scale as fixed costs are spread out over more units of output.

Inverted U-Theory

A hypothesis that suggests a relationship between any given variable and a factor of interest initially increases, reaches an optimal level, then declines.