What is the difference between a Bar and a Breakfast Bar?

I just leased an apartment with an extension separating the kitchen from the dining room. It is a curved, wood topped piece that you can place bar stools around. I have been calling it a "bar" and my co-worker is trying to convince me it is called a "breakfast bar". Which one is correct?
There is an exact name to it, regardless of what I do, drink, or eat on it.

depends what you use it for – having your breakfast or having a drink