College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Mid-Chapter Check Point - Page 479: 2

Answer

$\left[\begin{array}{lll} & f(x)=(\frac{1}{2})^{x} & g(x)=(\frac{1}{2})^{x-1}\\ domain & (-\infty,\infty) & (-\infty,\infty)\\ range & (0,\infty) & (0,\infty)\\ asymptote & y=0 & y=0 \end{array}\right]$
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Work Step by Step

1.Create a table for graphing f(x), plot several points and join with a smooth curve. 2. The graph g(x) is obtained from f(x) by shifting f(x) right by 1 unit. (the asymptote remains) 3. Read the graph for : $\left[\begin{array}{lll} & f(x)=(\frac{1}{2})^{x} & g(x)=(\frac{1}{2})^{x-1}\\ domain & (-\infty,\infty) & (-\infty,\infty)\\ range & (0,\infty) & (0,\infty)\\ asymptote & y=0 & y=0 \end{array}\right]$
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