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


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

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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