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 - 4.2 Comparing Exponential and Linear Functions - Exercises and Problems for Section 4.2 - Exercises and Problems - Page 155: 21

Answer

It is not possible to find an exponential function of the graph because the graph is not exponential.

Work Step by Step

The graph shows that the points $(1,5),(3,11)$ and $(5,30)$ lie on the curve of $f(x)$. If the graph of the function is exponential, then the ratios of successive values of $f(x)$ will be a constant. $$ \begin{aligned} & \frac{f(3)}{f(1)}=\frac{11}{5}=2.2 \\ & \frac{f(5)}{f(3)}=\frac{30}{11}=2.7 . \end{aligned} $$ It is not possible to find an exponential function of the graph because the graph is not exponential.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.