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: 27

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

Since the both pieces of the given function include the second degree polynomial, we will have two different parabolas. Graph the function $\ y=4-x^2\ $ and apply the constraint $\ (\infty,1].$ After that, graph the second piece of the function $\ y=x^2+2x\ $ and apply the constraint $\ (1,\infty).$ You may notice that the two parabolas will coincide at $\ x=1.$
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