Determine Which of the Rational Functions Given Below Has the Following

question 348

Multiple Choice

Determine which of the rational functions given below has the following feature(s) .
- $x$ -intercepts: $( 4,0 )$ and $( - 3,0 )$ , $y$ -intercepts: none, vertical asymptotes: $x = 0$ and $x = 1$ , horizontal asymptote: $y = 1$

• A) \(f ( x ) = \frac { ( x - 4 ) ( x + 3 ) } { x ( x - 1 ) }\)
• B) \(f ( x ) = \frac { ( x - 4 ) ( x + 3 ) } { ( x - 1 ) ^ { 2 } }\)
• C) \(f ( x ) = \frac { ( x + 4 ) ( x - 3 ) } { ( x + 1 ) }\)
• D) \(f ( x ) = \frac { ( x + 4 ) ( x - 3 ) } { x ( x + 1 ) }\)

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Definitions:

Producer Surplus

The discrepancy between the price at which sellers are prepared to offer a product and the actual selling price they obtain.

Market Failure

The failure of a market to be efficient; when the individual pursuit of self-interest leads to bad results for society as a whole.

Market Power

The ability of a producer to raise prices.

Externalities

External benefits and external costs.