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Determine Which of the Rational Functions Given Below Has the Following

Question 213

Multiple Choice

Determine which of the rational functions given below has the following feature(s) .
-x-intercepts: 4 and 1,y1 , y -intercepts: none, vertical asymptotes: x=0x = 0 and x=2x = - 2 , horizontal asymptote: y=1\mathrm { y } = 1


A) f(x) =(x+4) (x+1) x(x2) f ( x ) = \frac { ( x + 4 ) ( x + 1 ) } { x ( x - 2 ) }
B) f(x) =(x4) (x1) (x+2) 2f ( x ) = \frac { ( x - 4 ) ( x - 1 ) } { ( x + 2 ) ^ { 2 } }
C) f(x) =(x4) (x1) x(x+2) f ( x ) = \frac { ( x - 4 ) ( x - 1 ) } { x ( x + 2 ) }
D) f(x) =(x+4) (x+1) (x2) f ( x ) = \frac { ( x + 4 ) ( x + 1 ) } { ( x - 2 ) }

Correct Answer:

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