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

question 68

Multiple Choice

Find the horizontal asymptote, if any, of the graph of the rational function.
- $$h ( x ) = \frac { 8 x ^ { 3 } } { 2 x ^ { 2 } + 1 }$$

• A) \(y = 4\)
• B) \(y = 0\)
• C) \(\mathrm { y } = \frac { 1 } { 4 }\)
• D) no horizontal asymptote

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Definitions:

Iso-Profit Line

A graphical representation in economic models showing combinations of inputs that yield the same level of profit.

Graphical Maximization

A technique used in operations research and economics to find the highest value of an objective function given certain constraints, represented graphically.

Feasible Region

In optimization problems, the set of all possible points that satisfy the problem's constraints and are therefore considered for the solution.

Linear Programming

Linear Programming is a mathematical method used for achieving the best outcome in a model with linear relationships, commonly applied in optimization and resource allocation.