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: 106

Answer

The function $y=4e^{\frac{2}{3}x}$ matches with the graph labeled (b)

Work Step by Step

y-axis intercept ($x=0)$: $y=4e^{\frac{2(0)}{3}}=4e^0=4$ The graph of $y=ae^{bx}$ increases as $x$ increases when $b\gt0$. In this case $b=\frac{2}{3}$.
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