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: 81

Answer

See graph, vertical asymptotes, $x=-3/2$ x-intercepts, $0,5/2$ y-intercepts $0$ local minimum $(0.95,-0.6)$, ocal maximum $(-3.95,-10.4)$ end behavior $y=x-4$

Work Step by Step

See graph, vertical asymptotes, $x=-3/2$ x-intercepts, $0,5/2$ y-intercepts $0$ local extrema, minimum $(0.95,-0.6)$, maximum $(-3.95,-10.4)$ Use long division we find $y=x-4$ has the same end behavior as the rational function, as shown in the graph for both functions.
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