Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - Review Exercises - Page 414: 110

Answer

The function $y=\frac{6}{1+2e^{-2x}}$ matches with the graph labeled (c).

Work Step by Step

y-axis intercept ($x=0)$: $y=\frac{6}{1+2e^{-2(0)}}=\frac{6}{1+2e^0}=\frac{6}{3}=2$ $e^{-2x}\rightarrow0$ as $x\rightarrow+\infty$ So, $y\rightarrow\frac{6}{1+0}=6$ as $x\rightarrow+\infty$
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