Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - Chapter 7 Test - Page 485: 23

Answer

See below:

Work Step by Step

In the given expression: \[y={{3}^{x}}\] Substitute the value of x with \[-2,-1,0,1,\text{ and }2\]. \[\begin{align} & \text{For, }x=-2,y={{3}^{-2}} \\ & \text{For, }x=-1,y={{3}^{-1}} \\ & \text{For, }x=0,y=1 \\ & \text{For, }x=1,y=3 \\ & \text{For, }x=2,y={{3}^{2}} \\ \end{align}\] Therefore, the ordered pairs are \[\left( -2,{{3}^{-2}} \right),\left( -1,{{3}^{-1}} \right),\left( 0,1 \right),\left( 1,{{3}^{1}} \right),\text{ and }\left( 2,{{3}^{2}} \right)\].
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