1. You can change the function by changing the fz variable (z is the complex argument).
2. You can change the graphing bounds by changing np.linspace() bounds in x and y.
3. n is the number of pixels per axis.
4. Now you can launch the script and see the function.

fz = 1/z

fz = z + 1/z

fz = np.log(z)

fz = (z**2 - 1)*(z - complex(2, 1))2/(z2 + complex(2, -2))

fz = np.e**(-np.e**(-z))

fz = z**5 - 1

fz = np.sin(z)