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Unformatted text preview: q . • For each real zero r , x = r is the vertical symptote. Remark : If f is NOT in the LOWEST term, following the above steps may result in an incorrect listing of vertical asymptotes. Example 4 3 4 Oblique Asymptote The graph of f ( x ) = x 3 +2 x 21 x 2 + x +1 . Question : Based on the result of the long division, what line does f approach as  x  → ∞ ? Finding oblique asymptotes : ONLY when n = m + 1, there is an oblique asymptote which is the QUOTIENT computed in the long division. Otherwise, there is NO oblique asymptote. Example 5 5 Inverse Variation The number y varies inversely with the number x if y = k x for some k 6 = 0. In other words, y = f ( x ) where f ( x ) = k x for some k 6 = 0. 4 LEFT: f ( x ) = k x where k > 0. RIGHT: f ( x ) = k x where k < 0. 5...
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This note was uploaded on 05/23/2011 for the course MAC 1147 taught by Professor Nuegyen during the Spring '11 term at FSU.
 Spring '11
 Nuegyen
 Rational Functions

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