College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 4 - Section 4.3 - Quadratic Functions and Their Properties - 4.3 Assess Your Understanding: 1

Answer

$x$-intercepts: $-3$ and $3$ $y$-intercept: $9$

Work Step by Step

RECALL: (1) The intercepts of a function are the points where its graph touches or crosses the x axis or the y axis. (2) The x-intercept can be found by letting $y=0$ and then solving for $x$. (3) The y-intercept can be found by letting $x=0$ and then solving for $y$ Letting $y=0$ and then solving for $x$ gives: $y=x^2-9 \\0=x^2-9 \\9=x^2 \\\pm\sqrt{9} = \sqrt{x^2} \\\pm3 = x$ Letting $x=0$ and then solving for $y$ gives: $y=x^2-9 \\y=0^2-9 \\y=0-9 \\y=9$ Thus, the intercepts of the function are: $x$-intercepts: $-3$ and $3$ $y$-intercept: $9$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.