Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - Chapter Review - Cumulative Review - Page 437: 12

Answer

$y=2\cdot3^x$.

Work Step by Step

$y=Ab^x$. We can see that $(0,2)$ is on the graph hence after plugging in these values: $2=Ab^0\\2=A\cdot1\\2=A$. We can see that $(1,6)$ is on the graph and $A=6$ hence after plugging in these values: $6=Ab^1\\6=2\cdot b\\3=b$. Hence $y=2\cdot3^x$.
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