It can be used in many ways:
Emphasis- the film was f***ing rubbish/brilliant. no f***ing way!
Disbelief- 'I have done all the work' 'Like f*** you have'
Person (negative)- he's a stupid f***er (with 'sad' we say 'sad f***' usually)
Annoyed- I was f***ed off/ F*** it!
Beat by a wide margin- Arsenal F***ed Manchester United yesterday 4-0
Be intoxicated- he was so f***ed in the pub last night
Go away- F*** off!
Mess up - I f***ed up the interview
Cheat- I f***ed him over on the deal
Compound nouns- f***wit f***head (idiot)
This word has thousand of uses- many others could be added to the list.
NB some of these uses may well be BrE. There are those who avoid the word and never use it, and those who seem to think that, like a main verb, no sentence is complete without at least one, though they tend to shove in two or three to make sure.