Would the Transfer case on a 2005 Dodge Dakota 4.7 V8 4x4 be considered under powertrain warranty?

No, a transfer case on a 2005 Dodge Dakota, even if it's a 4x4, would almost certainly not be covered under a powertrain warranty *after the original factory warranty expired*.

Powertrain warranties typically cover the engine, transmission, and drive axles. While the transfer case is part of the drivetrain, it's often considered a separate component and excluded from basic powertrain warranties. Extended warranties *might* include it, but that would depend on the specific terms of the extended warranty contract you purchased.

To know for sure, you'd need to check the original factory warranty documentation and/or the terms of any extended warranty you have.