Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.2 Trigonometric (Polar) Form of Complex Numbers - 8.2 Exercises - Page 371: 68e

Answer

As real conjugates are symmetric across the imaginary y-axis, the Julia set must be symmetric with respect to the imaginary y-axis too.

Work Step by Step

For $z = a + bi$, real conjugate of $z$ is -a + bi. Same like complex conjugates, real conjugates also have the same absolute values. As real conjugates are symmetric across the imaginary y-axis, the Julia set must be symmetric with respect to the imaginary y-axis too.
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