Find a Rational Function That Satisfies the Given Conditions $y = x + 5$

question 42

Multiple Choice

Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer
possible.
-Oblique asymptote $y = x + 5$

• A) \(f ( x ) = \frac { x ^ { 2 } - 5 x + 1 } { 5 x }\)
• B) \(f ( x ) = \frac { x ^ { 2 } + 5 x + 1 } { x }\)
• C) \(f ( x ) = \frac { x ^ { 2 } + 5 x + 1 } { 5 x }\)
• D) \(f ( x ) = \frac { x ^ { 2 } - 5 x + 1 } { x }\)

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Definitions:

Marginal Cost

The expense addition due to the manufacture of one more product or service unit.

Average Variable Cost

The total variable costs (e.g., materials, labor) divided by the quantity of output produced, representing the variable cost per unit.

Marginal Cost

The hike in cost associated with the creation of an extra unit of a good or service.

Average Total Cost

The total cost of production divided by the quantity produced, representing the average cost per unit of output.