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: 59

Answer

x-intercepts: $-2$ and $2$ y-intercepts: $-4$ and $4$

Work Step by Step

RECALL: (1) A point where the graph touches or crosses the x-axis is called an x-intercept. (2) A point where the graph touches or crosses the y-axis is called a y-intercept. Notice that the graph crosses the x-axis at $x=-2$ and $x=2$. Thus, the x-intercepts of the graph are $-2$ and $2$. Verifying with the equation shows that when $y=0$, $x=\pm2$. The graph crosses the y-axis at $y=-4$ and $y=2$. Thus, the y-intercepts of the graph are $-4$ and $4$. Verifying with the equation shows that when $x=0$, $y=\pm4$.
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