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 4.1 - Page 452: 50


please see image below (f(x)=red curve, g(x)=blue curve), asymptote of $f:\quad\quad y=0$ asymptote of $g:\quad\quad y=0$

Work Step by Step

Graph $ f(x)=3^{x}\qquad$ (red) by plotting the points from the table and connecting with a smooth curve. $g(x)=3\cdot 3^{x}=3\cdot f(x)$ so the graph of $g(x)$ (blue) is obtained by vertically stretching the graph of f(x) by factor 3. Reading the graph, asymptote of $f:\quad\quad y=0$ asymptote of $g:\quad\quad y=0$
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