Determine Which of the Rational Functions Given Below Has the Following

question 78

Multiple Choice

Determine which of the rational functions given below has the following feature(s) .
-x-intercepts: $( - 5,0 )$ and $( - 3,0 ) , y$ -intercepts: $\left( 0 , \frac { 3 } { 5 } \right)$ , vertical asymptote: $x = 5$ , horizontal asymptote: $y = 1$

• A) \(f ( x ) = \frac { ( x - 5 ) ( x - 3 ) } { ( x + 5 ) ^ { 2 } }\)
• B) \(f ( x ) = \frac { ( x + 5 ) ( x + 3 ) } { ( x - 5 ) ^ { 2 } }\)
• C) \(f ( x ) = \frac { ( x - 5 ) ( x - 3 ) } { ( x + 5 ) }\)
• D) \(f ( x ) = \frac { ( x + 5 ) ( x + 3 ) } { ( x - 5 ) }\)

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Definitions:

Elaborate Efforts

Actions or endeavors involving careful planning and detailed work to achieve a specific goal.

Fear Response

A physiological and emotional reaction triggered by perceived threats, characterized by an increase in heartbeat, sweating, and a readiness to act.

Benzodiazepines

A class of psychoactive drugs used to treat conditions such as anxiety, insomnia, and seizures, working by enhancing the effect of the GABA neurotransmitter in the brain.

Receptor Sites

Specific regions on the surface of cells or within cells that selectively bind to substances, such as neurotransmitters, hormones, or drugs, triggering a cellular response.