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: 9

Answer

(a) We can see the completed tables for the function below. (b) $y \to -\infty$ as $x \to 2^{-}$ $y \to \infty$ as $x \to 2^{+}$ (c) $y \to 1$ as $x \to \infty$ $y \to 1$ as $x \to -\infty$

Work Step by Step

(a) $r(x) = \frac{x}{x-2}$ We can see the completed tables for the function below. (b) With the information in Table 1: $y \to -\infty$ as $x \to 2^{-}$ With the information in Table 2: $y \to \infty$ as $x \to 2^{+}$ (c) With the information in Table 3: $y \to 1$ as $x \to \infty$ With the information in Table 4: $y \to 1$ as $x \to -\infty$
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