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: 114

Answer

$(a)$ Symmetry with respect to $x$-axis $(b)$ $x$-intercept $B(6,0)$ $y$-intercepts $A(0,6)$ and $C(0,-6)$

Work Step by Step

$(a)$ As we can see from the image of the graph above, it is symmetrical with respect to the $x$-axis. Algebraically, if we replace $y$ by $-y$ equation will be still equivalent to the original one. $(b)$ $x$-intercept happens when $y=0$ $6x+0^2=36$ $6x=36$ $x=6$ $B(6,0)$ $y$-intercept happens when $x=0$ $6\times0+y^2=36$ $y^2=36$ $y=±6$ $A(0,6)$ and $C(0,-6)$
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