Discontinuity: Discontinuity occurs when there are breaks, holes, or jumps in a function.
Intermediate Value Theorem (IVT): The IVT states that if you have two points on either side of some value within an interval where a continuous function exists, then there must be at least one point within that interval where the function takes on every value between those two points.
Removable Discontinuity: A removable discontinuity is when there's initially an interruption in the graph of a function but can be fixed by redefining its value at that particular point.