When you measure the battery terminals with a multimeter without the shore power or any other charging source connected they should read 12.6-7VDC when fully charged.
When you connect the shore power cable up that turns on the on-board converter/charger unit the batteries should jump up to 13.6VDC or higher up to 14.4VDC depending on what charge mode the converter is in...
This tells you your converter/charger is charging the batteries...
It is important to know what your disconnect switch does in regards to charging the batteries.
Best way to tell is just read the DC VOLTAGE at the batter terminals. Then you know for sure.
The chart posted above is good info to have available to you. I watch my batteries real close when camping off the power grid and when I notice the battery bank is down to 12.0VDC this tells me they are approximately at their 50% charge state and it is time for me to start re-charging or shutting down using them. I follow the golden rule real close here to not go below 50% charge status to not do any harm to the battery bank.
Has kept my original batteries I got with my trailer in 2008 still working fine. Just now starting to fall off on performance.
Roy Ken