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: 105

Answer

The function $y=3e^{-\frac{2}{3}x}$ matches with the graph labeled (e).

Work Step by Step

y-axis intercept ($x=0)$: $y=3e^{\frac{-2(0)}{3}}=3e^0=3$ The graph of $y=ae^{bx}$ decreases as $x$ increases when $b\lt0$. In this case $b=-\frac{2}{3}$.
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