College Algebra (6th Edition)

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

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.2 - Page 466: 56

Answer

Vertical asymptote:$\quad x=0$ The domain of g:$\quad (0,+\infty)$ The range of g:$\quad (-\infty,+\infty)$ .

Work Step by Step

(See table 4.5, Transformations involving Logarithmic functions) $f(x)=\log_{2}x$ $h(x)=$2$+\log_{2}x=f(x)+$2 so the graph of $h(x)$ (blue) is obtained from the graph of f(x) (red) by shifting it up by 2 units. Vertical asymptote:$\quad x=0$ The domain of g:$\quad (0,+\infty)$ The range of g:$\quad (-\infty,+\infty)$
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