Find the Horizontal Asymptote, If Any, of the Graph of the Rational

question 33

Multiple Choice

Find the horizontal asymptote, if any, of the graph of the rational function.
- $$f ( x ) = \frac { - 25 x } { 5 x ^ { 3 } + x ^ { 2 } + 1 }$$

• A) \(y = 0\)
• B) \(y = - 5\)
• C) \(y = - \frac { 1 } { 5 }\)
• D) no horizontal asymptote

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Definitions:

Output Level

Refers to the quantity of a product or service produced by a company or an economic sector within a specific period.

Average Product

The output per unit of input, calculated by dividing total production by the total quantity of input.

Labor

The work performed by humans that is used in the production of goods and services.

Diminishing Marginal Returns

An economic principle stating that as one factor of production increases while others remain constant, the incremental gains in output will eventually decrease.