Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Exercises - Page 135: 115

Answer

$(a)$ Symmetry with respect to $y$-axis $(b)$ $x$-intercept $B(0,0)$ $y$-intercept $A(0,2)$ and $B(0,0)$

Work Step by Step

$(a)$ As we can see from the image of the graph above, it is symmetrical with respect to the $y$-axis. Algebraically, if we replace $x$ by $−x$ equation will be still equivalent to the original one. $(b)$ $x$-intercept happens when $y=0$ $x^2+(0-1)^2=1$ $x^2+1=1$ $x^2=0$ $x=0$ $B(0,0)$ $y$-intercept happens when $x=0$ $0^2+(y-1)^2=1$ $y^2-2y+1=1$ $y^2-2y=0$ $y(y-2)=0$ $y_1=0$ $y_2=2$ $A(0,2)$ and $B(0,0)$
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.