College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.2 - Graphs of Equations in Two Variables; Circles - 1.2 Exercises - Page 102: 27

Answer

$\begin{matrix} x&y\\ \hline -4&\pm \sqrt{8}\\ -3&\pm \sqrt{7}\\ -2&\pm\sqrt{6}\\ -1&\pm\sqrt{5}\\ 0&\pm 2\\ 1&\pm\sqrt{3}\\ 2&\pm\sqrt{2}\\ 3&\pm 1\\ 4&0 \end{matrix}$

Work Step by Step

Create the table of points $(x,y)$ which satisfy $x+y^2=4$: $\begin{matrix} x&y\\ \hline -4&\pm \sqrt{8}\\ -3&\pm \sqrt{7}\\ -2&\pm\sqrt{6}\\ -1&\pm\sqrt{5}\\ 0&\pm 2\\ 1&\pm\sqrt{3}\\ 2&\pm\sqrt{2}\\ 3&\pm 1\\ 4&0 \end{matrix}$ Sketch the graphs:
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