Sixth
One who can immediatelly tell just by looking at the plot which function this is, then he or she is cheating.
\(f(z) = \exp\,\cos\,z,\quad z \in \mathbb{C}(0,3)\)
Who would ever think of even forming this composition? Nevertheless it is perfectly suitable to check whether we can follow how a picture like this is created, at least its main characteristics. As a little support, find below the plots of the functions z, cos z and exp z with this coloring (a variant of Imre) on the same domain:
I do not provide a detailed explanation now… Good luck!