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 - 4.3 Graphs of Exponential Functions - Exercises and Problems for Section 4.3 - Exercises and Problems - Page 163: 41

Answer

The graph is a straight line in all windows. Parentheses must be used to ensure that $x$ is in the exponent.

Work Step by Step

When the function is entered as $y=1.04^{5x}$, is interpreted as $y=\left(1.04^5\right)^x=1.217^x$, which is an exponential. Your friend entered $y=1.04^5\cdot x\approx 1.217x$. This graph is a straight line in all windows. Parentheses must be used to ensure that $x$ is in the exponent.
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