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

question 173

Multiple Choice

Give the equation of the horizontal asymptote, if any, of the function.
- $$f ( x ) = \frac { x ( x - 1 ) } { x ^ { 3 } + 49 x }$$

• A) \(x = 0 , x = - 49\)
• B) \(y = 1\)
• C) no horizontal asymptotes
• D) \(y = 0\)

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Definitions:

Quantity Supplied

The amount of a good or service that producers are willing and able to offer for sale at a given price level in a given time period.

Equilibrium Price

The point at which the demand for a particular good or service matches its supply, ensuring equilibrium in the market.

Equilibrium Quantity

The quantity of goods or services that is supplied and demanded at the equilibrium price, where the quantity supplied equals the quantity demanded, leading to market stability.

Equilibrium Price

The market price at which the quantity of goods demanded equals the quantity of goods supplied, leading to a stable market condition.