Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.4 - Exponential Functions - 1.4 Exercises: 5

Answer

(a) This equation is $f(x) = b^x,\quad b>0.$ (b) Domain is $(-\infty,\infty).$ (c) Range is $(0,\infty).$ (d) The graphs are on the figure below (i)$b>1$(blue) (ii)$b=1$(red) (iii)$0
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Work Step by Step

(a) This equation is $f(x) = b^x,\quad b>0.$ (b) Since $x$ can take any real value the domain is $(-\infty,\infty).$ (c) When $b\neq 1$ $b^x$ can take every positive value for suitable choice of $x$ so the range is $(0,\infty).$ (d) The graphs are on the figure below (i)$b>1$(blue) (ii)$b=1$(red) (iii)$0
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