Question: best way to visualize a mapping

hi. i sometimes want to see how a subset A of the complex plane behaves under a certain mapping f. i plot A in red and f(A) in blue into the same plot. no problem so far.

 

but i also want to see how certain points are mapped to better understand the mapping. in some old maple version (like 5) i hacked that in by running through the plot structure and add green lines from z to f(z) for like every 10th entry to the plot.

 

now in maple 13 that doesnt work any more, the plot structure was changed. before i go figure out the details of the  new structure i wanted to ask if there is a simpler (and more robust) way to do that.

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