**Documentation:**A function ?f is continous over the interval ?beg ?end if it is defined and continuous-at every point between ?beg and ?end exclusive.

**Arity:**3

(Nth-Domain Continuous-Over 1 Unary-Scalar-Function-Quantity) (<=> (Continuous-Over ?F ?Beg ?End) (And (Unary-Scalar-Function-Quantity ?F) (Member ?Beg (Exact-Domain ?F)) (Member ?End (Exact-Domain ?F)) (Forall (?X) (=> (And (< ?Beg ?X) (< ?X ?End)) (And (Defined (Value ?F ?X)) (Continuous-At ?F ?X))))))