Determine Which of the Rational Functions Given Below Has the Following

question 344

Multiple Choice

Determine which of the rational functions given below has the following feature(s) .
- $x$ -intercepts: $( - 4,0 )$ and $( 1,0 ) , y$ -intercept: $\left( 0 , - \frac { 4 } { 3 } \right)$ , vertical asymptotes: $x = - 1$ and $x = - 3$ horizontal asymptote: $\mathrm { y } = 1$

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

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