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Determine Whether the Graph of the Rational Function Has a Horizontal

Question 21

Multiple Choice

Determine whether the graph of the rational function has a horizontal asymptote, an oblique asymptote, or neither. Give
the equation of the asymptote if it exists.
- f(x) =10x317x2+3x14x21f ( x ) = \frac { 10 x ^ { 3 } - 17 x ^ { 2 } + 3 x - 1 } { 4 x ^ { 2 } - 1 }


A)  Oblique asymptote: y=52x174\text { Oblique asymptote: } y = \frac { 5 } { 2 } x - \frac { 17 } { 4 }
B)  Horizontal asymptote: y=52\text { Horizontal asymptote: } y = \frac { 5 } { 2 }
C) Neither

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