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: 37


please see graph (blue curve), asymptote of $g$:$\quad\quad y=2$ domain of $g=(-\infty,\infty)$ range of $g=(2,\infty)$

Work Step by Step

Graph $ f(x)=e^{x}\qquad$ (red, dashed) by plotting the points from the table and connecting with a smooth curve. $g(x)=e^{x}+2= f(x)+2$ so the graph of $g(x)$ (blue) is obtained by shifting the graph of f(x) (red) up by 2 units. Reading the graph, asymptote of $g$:$\quad\quad y=2$ domain of $g=(-\infty,\infty)$ range of $g=(2,\infty)$
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