Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Appendix D - Graphing Techniques - Exercises - Page 448: 71

Answer

Another function value of the graph of $y = f(x)$ that is symmetric with respect to the origin is $f(-3) = -6$.

Work Step by Step

When the graph of an equation is symmetric with respect to the origin, replacement of both $x$ with $-x$ and $y$ with $-y$ at the same time results in an equivalent equation same than the original. So, for a function $f$, $f(3) = 6$, another function value of the graph of $y = f(x)$ that is symmetric with respect to the origin is $f(-3) = -6$.
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