A word for 'to exist in the same place as something else'
Solution 1:
Coincide works well. It's what I would use:
The graphs of f(x) and g(x) coincide between x=2 and x=6.
Dictionary.com's first definition is:
to occupy the same place in space, the same point or period in time, or the same relative position: The centers of concentric circles coincide. Our vacations coincided this year.
Solution 2:
Another word that would work well for two functions in a graph that meet would be intersect.
A word that would mean to exist in the same place as something else (geographically), would be colocated.
Solution 3:
You might also say there were conterminous - 'coincident in their boundaries; exactly co-extensive' (OED).