Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 4 - Exponential Functions - 4.1 Introduction to the Family of Exponential Functions - Exercises and Problems for Section 4.1 - Exercises and Problems - Page 145: 7


Yes, $Q(t)=2^t$ is exponential.

Work Step by Step

Using the fact that $(a^b)^n=a^{bn}$, this function becomes $$Q(t)=(8^{1/3})^t$$ Using the fact that $8^{1/3}=\sqrt[3]{8}=2$, the function becomes exponential. $$Q(t)=2^t$$
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