Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Section 1.9 - The Coordinate Plane; Graphs of Equations; Circles - 1.9 Exercises - Page 104: 106

Answer

It is X Axis Symmetrical.

Work Step by Step

X=y^4-y^2 Check for X Axis symmetry - Change the y's to negative. X= (-y)^4-(-y)^2. Because the exponents are even they will become postive therefore the same equation. Check for Y Axis symmetry - Change the x to negative. -X=y^4-y^2 The equation does not remain the same. Check for origin symmetry. Change the x and y's to negative. -x= (-y)^4-(-y)^2 The equation does not remain the same. The only symmetry it has is through the X Axis.
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