It is documented if you document it.
Start by making a timeline of every event from the day you bought the car. Indicate the date of each problem, each phone call to the dealer or other mechanic, each service visit, each new problem. It should look something like this:
02/10/05: Bought car. Told I had 60-day/6,000 Warranty.
02/24/05: Engine light went on. Bad acceleration.
02/25/05: Called Dealer. Spoke with Butch. He said no big deal, bring it in.
02/28/05: I took car in. They returned car 2 hours later, light out. Said O2 sensor bad.
You get the idea. Put this together, and you will be way ahead of the game. Plus, you will need it to get any legal advice.
Timelines. Never make a claim without one.