Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Chapter 9 Test - Page 640: 4

Answer

Graph of $S(x)=6^x$

Work Step by Step

Substituting values of $x$ in the given function, $ S(x)=6^x $, results to \begin{array}{c|c|c} \text{If }x=-1: & \text{If }x=0 & \text{If }x=1 \\\\ S(x)=y=6^x & S(x)=y=6^x & S(x)=y=6^x \\ y=6^{-1} & y=6^0 & y=6^1 \\\\ y=\dfrac{1}{6^1} & y=1 & y=6 \\\\ y=\dfrac{1}{6} .\end{array} Tabulating the results above gives the table below. \begin{array}{c|c} \hline x & y \\\hline -1 & \dfrac{1}{6} \\\hline 0 & 1 \\\hline 1 & 6 \end{array} Connecting the points $ \left(-1\dfrac{1}{6}\right), \left(0,1\right), \text{ and } \left(1,6\right) $ with a curve gives the graph of $ S(x)=6^x $.
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