Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.1 - Exponential Functions - Exercise Set - Page 448: 13

Answer

$(-4,\frac{16}{81})$, $(-2,\frac{4}{9})$, $(-1,\frac{2}{3})$, $(1,\frac{3}{2})$, $(2,\frac{9}{4})$, $(4,\frac{81}{16})$ Graph is attached

Work Step by Step

$f(x) = (\frac{3}{2})^{x}$ Lets put $x=-4,-2,-1,1,2,4$ $f(-4) = (\frac{3}{2})^{-4} = \frac{16}{81}$ $f(-2) = (\frac{3}{2})^{-2} = \frac{4}{9}$ $f(-1) = (\frac{3}{2})^{-1} = \frac{2}{3}$ $f(1) = (\frac{3}{2})^{1} = \frac{3}{2}$ $f(2) = (\frac{3}{2})^{2} = \frac{9}{4}$ $f(4) = (\frac{3}{2})^{4} = \frac{81}{16}$ Plot the set of points
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