I'm currently the owner of a 2006 m35x that I feel is getting up there in miles so I'm looking to get an M37 instead (would rather not have AWD again but that's all that's available around me within a 200 mile radius!).
I went to go look at a 2011 M37x white with java interior and all the packages (technology, deluxe touring, premium) with 80,000 miles and I have a few questions.
1. When I started the car the engine was cold and I thought it was displaying some weird behavior. I was in park and when I pressed the gas up to 3,000 rpms and let go.. the RPMs would hang there and rev for a few seconds even after letting go of the gas and slowly decrease as if the car was moving in gear and losing speed slowly. In my M35x the RPM's drop right away when I release the throttle while not moving. What could be the cause of this? When the car was fully warmed up it did not behave this way. Could dirty throttle bodies cause this?
2. What is this downwards round button used for on the lower left side of the steering wheel?

Pressing it every other time would emit an audible high pitched sonar beep that sounded like the battery was dying (bbeee-EEE-errr-p). I couldn't find a rhyme or reason to this button and have not seen any other pictures with this.
3. I know the 2013 has updated transmission firmware that increases the smoothness and responsiveness of shifting. Is it normal for a transmission that has not had this software upgrade to feel a little jerky or "bucky" during city driving?
Thanks all for any and all replies!
