It is shown that if a function f:**R**-->**R** is quasicontinuous
and has a graph which is bilaterally dense in itself,
then
f must be extendable to a connectivity function F:**R**^{2}-->**R**
and the set of discontinuity points of f is f-negligible. This
improves a result of H. Rosen. A similar result for symmetrically
continuous functions follows immediately.

**Last modified December 6, 2000.**