Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.5 Exercises - Page 362: 9

Answer

Graph

Work Step by Step

$$\eqalign{ & y = {2^x} \cr & {\text{The function is in the form }}f\left( x \right) = {a^x}{\text{ with }}a > 0,{\text{ then the }} \cr & {\text{function is increasing for all its domain}} \cr & {\text{Making a table of values we obtain:}} \cr} $$ \[\boxed{\begin{array}{*{20}{c}} x&y \\ { - 4}&{0.0625} \\ { - 3}&{0.125} \\ { - 2}&{0.25} \\ { - 1}&{0.5} \\ 0&1 \\ 1&2 \\ 2&4 \\ 3&8 \\ 4&{16} \end{array}}\] $$\eqalign{ & {\text{Ploting the points and joining them we obtain the following}} \cr & {\text{Graph:}} \cr} $$
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