Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.6 Graphs of Basic Functions - 2.6 Exercises - Page 256: 27

Answer

(a) domain $[-7,3]$ and range $[-5,5]$. (b) not a function.

Work Step by Step

(a) Given $(x+2)^2+y^2=25$ which show a circle with center $(-2,0)$ and radius $5$, we can find the domain as $[-7,3]$ and range as $[-5,5]$. (b) Rewrite the equation as $y=\pm\sqrt {25-(x+2)^2}$, and this does not form a function.
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