This applet allows us to plug in a complex number as an input to a function.[br]Move [math]z_1[/math] around and observe the output [math]z_2[/math]. Turn on the trace for [math]z_2[/math] to track its movement as [math]z_1[/math] changes.[br]If you'd like, try it again on a different function in terms of [math]z_1[/math][br]How does this differ from functions in the real plane?

Modified from[i] [url=https://www.geogebra.org/material/show/id/136234]https://www.geogebra.org/material/show/id/136234[/url][/i]