University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 1 - Section 1.1 - Functions and Their Graphs - Exercises - Page 12: 28

Answer

$\mathrm{See\:the\:graph\:below.}$ The first piece of the given function is represented by red in the graph below, while the second piece with blue.
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Work Step by Step

The first part of the graph is composed of a hyperbola while the second represents a straight line. Graph the function $\ y=\frac{1}{x}\ $ and apply the constraint $\ (-\infty,0).$ After that, graph the second piece of the function $\ y=x\ $ and apply the constraint $\ [0,\infty).$ You may notice that the point $\ x=0\ $ is included in the domain and is represented by the blue filled circle.
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