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Unformatted text preview: f ( x ) is zero. So the vertical asymptotes are x =-4 and x = 5 . To nd the horizontal asymptotes, determine the end behviour of f ( x ). As x or x - , the highest powers of x dominate, and the other terms are insignicant. So f ( x ) =-2 x 3 + 18 x 2-22 x-42 x 3-6 x 2-15 x + 100 behaves like-2 x 3 x 3 =-2 . So the function has a horizontal asymptote y =-2 ....
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- Winter '07