Question

Hello! I'm stuck on how to do this problem and would appreciate some help!

Choose a non-zero complex number c for f(z) = z2+ c. Find a complex number v that is in the escape set. Find a complex number w that is in the prisoner set. Graph the first five iterations of both v and w and connect them with line segments.

Find a complex number j that is in the Julia set.

I chose c=2i. I know that the escape set is any point that escapes to infinity under iteration. The prisoner set is a point that does not escape. The Julia set is the boundary between the escape set and the prisoner set.

I've looked in my textbook and online but nothing has exactly what I need. Thanks in advance for your help!