A Identify the Horizontal Asymptote (If Any) $$s ( x ) = \frac { 5 x - 10 } { x ^ { 2 } + 5 x - 4 }$$

question 112

Multiple Choice

a. Identify the horizontal asymptote (if any) .
b. If the graph of the function has a horizontal asymptote, determine the point where the graph crosses the
horizontal asymptote.
- $$s ( x ) = \frac { 5 x - 10 } { x ^ { 2 } + 5 x - 4 }$$

• A) a. \(y = 0\)
• b. \(\left( - \frac { 5 } { 2 } , 0 \right)\)
• B) a. \(y = 2\)
• b. \(( 0,2 )\)
• C) a. \(y = 0\)
• b. \(( 2,0 )\)
• D) a. No horizontal asymptote
• b. Not applicable

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Definitions:

Producer Surplus

The difference between what producers are willing to accept for a good or service versus what they actually receive, often due to market forces.

MC Curve

A graph representing the marginal cost of producing an additional unit of a good or service, usually upward sloping, reflecting increasing costs.

AVC Curve

The graphical representation of the average variable cost per unit of output over various levels of production.

Marginal Cost Curve

A graphical representation showing how the cost of producing one additional unit of a good changes as production volume changes.