Determine Which of the Rational Functions Given Below Has the Following

question 477

Multiple Choice

Determine which of the rational functions given below has the following feature(s) .
-x-intercepts: $- 5$ and 4 , y-intercept: 2, vertical asymptotes: $x = - 2$ and $x = 5$ , horizontal asymptote: $y = 1$

• A) \(f ( x ) = \frac { ( x + 5 ) ( x - 4 ) } { ( x + 2 ) ( x - 5 ) }\)
• B) \(f ( x ) = \frac { ( x + 2 ) ( x - 5 ) } { ( x + 5 ) ( x - 4 ) }\)
• C) \(f ( x ) = \frac { ( x - 2 ) ( x + 5 ) } { ( x - 5 ) ( x + 4 ) }\)
• D) \(f ( x ) = \frac { ( x - 5 ) ( x + 4 ) } { ( x - 2 ) ( x + 5 ) }\)

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Definitions:

Psychological Payoffs

The benefits or rewards that individuals receive from their behaviors or beliefs, which can serve to reinforce these actions or views.

Bystander Effect

The phenomenon where individuals are less likely to offer help to a victim when other people are present.

Prosocial Behavior

Social behaviors that benefit other people or society as a whole, such as helping, sharing, donating, co-operating, and volunteering.

Altruism

The principle or practice of showing concern for the well-being of others, even at a personal cost.