Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.1 - Graphs of Equations - 1.1 Exercises - Page 80: 79

Answer

False

Work Step by Step

We take a linear equation as an example: $$y=x$$ Testing for symmetry about the origin where we take the negative of $x$ and $y$: $$-y=-x$$ Simplifying: $$y=x$$ Since the resulting equation is the same as the original equation, the equation is symmetric with respect to the origin. Thus, since there is a linear equation that is symmetric with respect to origin, the answer is False.
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