Calculus: Early Transcendentals 8th Edition

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

Chapter 1 - Section 1.3 - New Functions from Old Functions - 1.3 Exercises: 12


By reflecting the graph of $y=\frac{1}{x}$ with respect to $x$ axis and then translating it upwards for $1$ unit we get the graph of $y=1-\frac{1}{x}$.

Work Step by Step

Start with the graph $y=\frac{1}{x}$. By reflecting it with respect to $x$ axis we get the graph of $y=-\frac{1}{x}$. Now translating the new graph upwards by $1$ unit we get the graph of $y=-\frac{1}{x}+1=1-\frac{1}{x}$ as shown on the figure below.
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