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 162: 31

Answer

See the graph below.

Work Step by Step

As $y=ab^x\rightarrow 0$ when $x\rightarrow -\infty$ where $b>1$, let's consider a function in the form $$y=ab^x+3,b>1.$$ A plot of such a function is shown below. $f(x) \rightarrow 3$ as $x \rightarrow-\infty$
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