My iPad 2 is only 7 months old and is draining battery life quickly some days and others shutting off at 40% - 50% and when I turn the iPad back on it keeps turning it self off continuously. I have a feeling the battery could be faulty, what do I do?

My iPad 2 is only 7 months old and is draining battery life quickly some days and others shutting off at 40% - 50% and when I turn the iPad back on it keeps turning it self off continuously. I have a feeling the battery could be faulty, what do I do?
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The Basic Troubleshooting Steps are:
Restart... Reset... Restore from Backup...  Restore as New...
Restart / Reset
http://support.apple.com/kb/ht1430
Backing up, Updating and Restoring
http://support.apple.com/kb/HT1414
If you try all these Steps and you still have issues... Then a Visit to an Apple Store or AASP (Authorized Apple Service Provider) is the Next Step...
Be sure to make an appointment first...