Many commonly encountered functions are partial functions that have a domain formed by all real numbers, except some isolated points. Examples include the reciprocal function and the tangent function When they are continuous on their domain, one says, in some contexts, that they are continuous, although they are not continuous everywhere. In other contexts, mainly when one is interested in their behavior near the exceptional points, one says they are discontinuous.
many commonly encountered functions are partial functions that have a domain formed by all real numbers except some isolated points examples include the reciprocal function and the tangent function when they are continuous on their domain one says in some contexts that they are continuous although they are not continuous everywhere in other contexts mainly when one is interested in their behavior near the exceptional points one says they are discontinuous