On flat ground chock the front wheels & jack the rear axle up, until both rear tires are just above the ground.put the transmission in neutral & release the parking brake.
Without getting any part of your body under the vehicle, turn one rear tire while watching the other.
Use safety stands if you are going under the vehicle!
If both tires turn the same direction, you have some sort of traction device.
If it came with a limited slip, it would need the friction modifier to properly lock up. It may have an actual locker (aftermarket) but the only way to know for sure, is to take a look inside.