Just to be prepared my advice is to learn what you can about car lemon laws in your state and start right now building a case just in case.
I don't think your car is a lemon but you won't know for sure until later and later is too late for you to have a case built up.
One of the things that is very important is to have a paper trail of what you brought the car in for, when, its mileage, and what was found, or not found, and what was done or not done. Be sure your complaint is noted on the work order and you get a copy of this for your records. Get a copy of the repair invoice or paperwork too, even though under warranty there'll be no charge.
Be sure your initial complaint is noted on this and what was done to the car noted as well.
Also, arrange to test drive the car some around the dealer's area to as best you can confirm the car is working correctly. IOWs, arrange to give the car a shakedown test drive before you zoom off towards home with the car.
You have much more leverage if you spot the same problem (or another problem) bringing the car right back rather than taking it home and bringing it back again a day or a week later.
Make sure if you have to bring the car right back a new round of paper work is done.