Is the given number z in the Julia set?
-z = -0.6i
A) Yes
B) No

Question

Quizplus · Accepted Answer

The Julia set is a complex fractal structure that is defined for each point in the complex plane. A point z in the complex plane belongs to the Julia set of a function if the sequence of iterated function applications starting from z remains bounded. For the classical Julia set associated with the function f(z) = z^2 + c (where c is a constant parameter), the membership of a point depends on the specific value of c and the behavior of the sequence. The given point z = -0.6i (which is purely imaginary) can belong to a Julia set for certain values of c. Without specifying the function or the value of c, it's not possible to definitively say it does not belong to any Julia set. Therefore, based on the information provided, we cannot exclude the possibility of z = -0.6i being in a Julia set.

Is the Given Number Z in the Julia Set