If a close family member dies and I take close to mean parent, child, sibling or partner surely you would not expect an employee to be fit to work in four days? I agree with dot that in this case a doctor's certificate, until at least after the funeral, would be acceptable.
In the case of more distant relatives like a cousin or aunt then I should think the 4 given days would be more than sufficient in most cases - although personally I think for non-close relatives just a day off work for the funeral is enough. (I know some people are closer to their cousins than their mothers etc etc but you need to draw a line somewhere)