The additivity A(F) of a family F of functions from **R** to **R**
is the minimum cardinality of a
family G of functions from **R** to **R**
with the property that f+G is a subset of F
for no f:**R**-->**R**. The values of A have
been calculated for many families of Darboux-like functions
from **R** to **R**.
We extend these results to include some families of Darboux-like functions in
from **R**^{n} to **R**. To do this we must define a new cardinal
function called generalized additivity which is much more flexible than A.