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 161: 6

Answer

The function approaches infinity for larger negative values of $x$ and goes to zero for larger positive values of $x$

Work Step by Step

a) Make a table like the one shown below. $$ \begin{array}{c|c|c|c|c|c|c|c} \hline x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline f(x) & 8 & 4 & 2 & 1 & 1 / 2 & 1 / 4 & 1 / 8 \\ \hline \end{array} $$ b) The function approaches infinity for larger negative values of $x$ and goes to zero for larger positive values of $x$.
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