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: 4

Answer

$\left.\begin{array}{lll} & f(x)=\log_{2^{X}} & g(x)=\log_{2}(x-1)+1\\ domain & (0,\infty) & (1,\infty)\\ range & (-\infty,\infty) & (-\infty,\infty)\\ asymptote & x=0 & x=1 \end{array}\right.$
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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. $g(x)=f(x-1)+1$ The graph g(x) is obtained from f(x) by (i) shifting it right by 1 unit, then (ii) shifting up by 1 unit 3. Read the graph for : $\left.\begin{array}{lll} & f(x)=\log_{2^{X}} & g(x)=\log_{2}(x-1)+1\\ domain & (0,\infty) & (1,\infty)\\ range & (-\infty,\infty) & (-\infty,\infty)\\ asymptote & x=0 & x=1 \end{array}\right.$
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