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 Expressions - 3.6 Exercises - Page 309: 86

Answer

See upper graph. vertical asymptotes $x=\pm1$ x-intercepts $\pm1.6$ y-intercepts $-4$ local maximum $(0,-4)$ end behavior: $y=-x^2$, see lower graph.

Work Step by Step

See upper graph. vertical asymptotes, $x=\pm1$ x-intercepts $\pm1.6$ y-intercepts $-4$ local maximum $(0,-4)$ end behavior: use long division (shown in the middle figure), we find the quotient $y=-x^2$ that has the same end behavior as the rational function, see lower graph.
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