College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.5 - Page 571: 22


please see image .

Work Step by Step

1. The inequality sign is $\geq $, so we draw a solid border 2. The border, $y=x^{2}-1$ is a parabola , obtained from $y=x^{2}$ by shifting down 1 unit, vertex: $(0,-1),$ opens up, x-intercepts: $0=x^{2}-1$ $0=(x+1)(x-1)$ x-intercepts:$ \pm 1$ Additional points : $(\pm 2,3)$ 3. Test the point $(0,0)$ $0 \geq 0^{2}-1\quad ?$ $0 \geq -1\quad ?$ Yes 4. Shade the region that the origin belongs to.
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