Help Identifying A Hose

[howeitsdone]

A random hose ended up falling underneath when bleeding my brakes. Does anyone have any idea what this may go to? The plastic end was under the brake booster area. 
 

 

 

[Pete M]

looks like the vent for the axle.  

[howeitsdone]

At first I thought the same, but I can’t remember the axle side having a hose clamp like this hose does. But I am missing that hose currently. 
 

I will figure out the routing of that hose to see where it should connect up top and check back. Thanks for the insight. 

[MiNi Beast]

Tcase vent line perhaps as well. 

[howeitsdone]

That’s actually more if what I thought based on where it fell. But when underneath I couldn’t pinpoint a connection nipple on the TC or the Transmission itself. 
 

After Googling just now I see it’s at the top. I’ll check that in the AM. Thanks. 

[jdog]

Front Axle vent