Give the Equation of the Horizontal Asymptote, If Any, of the Function

question 154

Multiple Choice

Give the equation of the horizontal asymptote, if any, of the function.
- $$h ( x ) = \frac { 4 x ^ { 3 } - 5 x - 9 } { 8 x + 3 }$$

• A) \(y = 4\)
• B) no horizontal asymptote
• C) \(\mathrm { y } = 0\)
• D) \(y = \frac { 1 } { 2 }\)

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Definitions:

Second-order Model

A statistical or mathematical model that includes terms for both the variables and their squared values, allowing for the modeling of curvature in the relationship.

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Coefficient of Determination

A measure that indicates the proportion of the variance in the dependent variable that is predictable from the independent variable(s), often represented as R^2.

Second-order Model

A model that includes squared terms of the predictor variables to capture the curvature in the data-set.