Find the Indicated Function Value $f ( 3 )$ When $f ( x ) = \frac { x ^ { 3 } + 6 } { x ^ { 2 } + 1 }$

question 5

Multiple Choice

Find the indicated function value.
-Find $f ( 3 )$ when $f ( x ) = \frac { x ^ { 3 } + 6 } { x ^ { 2 } + 1 }$ .

• A) \(\frac { 3 } { 2 }\)
• B) \(\frac { 33 } { 10 }\)
• C) \(\frac { 11 } { 3 }\)
• D) \(\frac { 27 } { 10 }\)

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Definitions:

Total Utility

The complete satisfaction or advantage gained from consuming a specified overall amount of a product or service.

Utility-Maximizing

A principle of economics that assumes consumers aim to achieve the highest level of satisfaction possible from their available resources.

Total Product Curve

A graph that shows the relationship between the quantity of inputs used in production and the quantity of output generated, illustrating how output changes with input variations.

Marginal Cost Curve

The marginal cost curve illustrates how the expense of producing one additional unit of a good changes as more goods are produced, typically upward sloping due to increasing costs.