Whats this hose for, and is it important?

Took this picture from another thread, but circled in red...Whats this for? I found mine was weather to all hell and ripped/loose like a stoned whore in church.

 

The actuator is used by 4 model lines; maybe one of the others uses it.

 

Its forsure on a 2nd gen 05 Access cab. Been searching online for transfer case actuator hose but no luck. Anyone got any ideas? Hate to just let this hose dangle without knowing what its for or if its ever used. Maybe for 4x4 use?

 

Is it hooked up to anything? I can't tell. Here's a picture of my 2011. Looks like it's hooked up in this picture I took a while back.

 

https://www.toyotapartsdeal.com/oem/toyota~hose~breather~for~transfer~case~90447-08175.html

 

Thanks man! a 3 dollar part, ill just replace her soon, looks simple enough of a repair. That bend radius is pretty damn tight at the end and is where mine comes loose

 

that is the vent line from the actuator that goes to the actual Tcase. If its cut or open it will open up both the tcase and actuator to water intrusion earlier than the actual main tcase breather.