Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.6 - Rational Functions - 3.6 Exercises - Page 308: 29

Answer

x-intercepts are -1, and 1 y-intercept is 1/4 vertical asymptotes are x=-2 and x=2 horizontal asymptote is y=1

Work Step by Step

from the graph, it is observed that the curve meets the x-axis at two points, -1 and 1 and the curve meets the y-axis at one point, 1/4 from the graph, it is obvious that the graph intersects the vertical line x=-2 and x=2 at an infinite distance. so the vertical asymptotes are x=-2 and x=2 similarly, the curve intersects the horizontal line y=1 at an infinite distance so the horizontal asymptote is y=1
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