Is it appropriate for small children to attend funerals?

Ok, I’m not starting an argument about when is the right time for children to learn about death or what they should be exposed to but I am asking specifically about funerals.

Wakes I understand, they are for family and friends to catch up over food and drink and celebrate the deceased person’s life and legacy, not to mourn them as you would at a funeral, and children can run around and play together.

However, funerals are far more formal, they are sad and are the final goodbye to the deceased. There are speeches and prayers, so my question is: is it appropriate to take small children to a funeral if they are going to get fidgety or cry and laugh and scream or whinge?

I guess it all depends on the age and maturity of the child, but say a child who isn’t old enough to know what a funeral is, and expects their mummy to respond to every want? Should the parent have organised a babysitter?