Find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant asymptote, if there is one, of the graph of the rational function, r(x) = (x2 + 4x + 3)/(x + 2)2. Then graph the rational function.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 37E: Find the horizontal asymptotes, if any, of each rational function. Do not graph the function....
Question

Find the vertical asymptotes, if any, the horizontal asymptote, if one exists, and the slant asymptote, if there is one, of the graph of the rational function, r(x) = (x2 + 4x + 3)/(x + 2)2. Then graph the rational function.

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