To write: The set of guidelines for finding all the asymptotes of a rational function.
Explanation of Solution
Given information: The given rational function has the degree of numerator is not more than
Calculation: The given rational function has the degree of numerator is not more than
Horizontal asymptotes:
If the degree of numerator is greater than the degree of denominator, then there are no horizontal asymptotes. If the degree of numerator is less than the degree of denominator, then there are horizontal asymptotes at
Vertical asymptotes:
Set the denominator equal to zero and solve.
Slant asymptotes:
If there are no horizontal asymptotes and the degree of numerator is exactly one greater than the degree of denominator, then divide the numerator by the denominator. The slant asymptotes are the result, not including the remainder.
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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