Unformatted text preview: f ( x ) is zero. So the vertical asymptotes are x =4 and x = 5 . To ﬁnd 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 insigniﬁcant. So f ( x ) =2 x 3 + 18 x 222 x42 x 36 x 215 x + 100 behaves like2 x 3 x 3 =2 . So the function has a horizontal asymptote y =2 ....
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This note was uploaded on 03/28/2011 for the course MATH 10A taught by Professor Arnold during the Winter '07 term at UCSD.
 Winter '07
 Arnold
 Math

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