Definition:Continuous Real Function

Continuity on an Interval
Where $A$ is a real interval, it is considered as a specific example of continuity on a subset of the domain.

Also see

 * Definition:Semicontinuous Real Function

Generalizations

 * Definition:Continuous Real-Valued Function
 * Definition:Continuous Real-Valued Vector Function


 * Definition:Continuous Mapping (Metric Space): Note that the definition for continuity at a point as given here is the same as that for a metric space, where the usual metric is taken on the real number line.


 * Definition:Continuous Mapping (Topology)