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

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

Graph the Rational Function f(x)=x4−3x3+x2−x−122x3+5x2−28x−15f ( x ) = \frac { x ^ { 4 } - 3 x ^ { 3 } + x ^ { 2 } - x - 12 } { 2 x ^ { 3 } + 5 x ^ { 2 } - 28 x - 15 }f(x)=2x3+5x2−28x−15x4−3x3+x2−x−12​

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