Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Test - Page 910: 26

Answer

Please see the graph.

Work Step by Step

Red line: $y=3^x$ Blue line: $y=log_3 x$ $y=3^x$ $x=3^y$ $log x =y log 3$ $log x/log 3 = y log 3 /log 3$ $log x/log 3 = y$ $log x/log 3$ can also be written as $log_3 x$, so we see that the two functions are inverses of the other function. $y=3^x$ $x=-1$ $y=3^x$ $y=3^{-1}$ $y=1/3$ $(-1, 1/3)$ $x=0$ $y=3^x$ $y=3^0$ $y=1$ $(0,1)$ $x=1$ $y=3^x$ $y=3^1$ $y=3$ $(1,3)$ The points $(-1, 1/3)$, $(0,1)$, and $(1,3)$ are on the red line, while the points $(1/3, -1)$, $(1,0)$, and $(3,1)$ are on the blue line.
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