(Found this while lurking through various car web sites...) Go to
this link, pick up all the approrpiate cookies, and then follow the link to CarFAX. It's allegedly only valid until 5pm (US-Eastern) today. On my own car (with its lovely history), I see that the only things CarFAX knows about are when the car was sold, when it was titled to me, and the two times it's had its emission test.
So... when you trade in a car to a dealer, how much information are you required to tell that dealer? Are they going to want your full service records? CarFAX clearly doesn't have much for them to see.