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Graph the Rational Function f(x)=x43x3+x2x122x3+5x228x15f ( x ) = \frac { x ^ { 4 } - 3 x ^ { 3 } + x ^ { 2 } - x - 12 } { 2 x ^ { 3 } + 5 x ^ { 2 } - 28 x - 15 }

question 64

Essay

Graph the rational function f(x)=x43x3+x2x122x3+5x228x15f ( x ) = \frac { x ^ { 4 } - 3 x ^ { 3 } + x ^ { 2 } - x - 12 } { 2 x ^ { 3 } + 5 x ^ { 2 } - 28 x - 15 } and determine all vertical asymptotes. Then graph ff and g(x)=12x114g ( x ) = \frac { 1 } { 2 } x - \frac { 11 } { 4 } , on the same screen, to show that they have the same end behavior.

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