Continuous

Definition

A function is continuous if there are no breaks, jumps, or holes in its graph. In other words, you can draw the graph of a continuous function without lifting your pencil.

Related terms

Discontinuous:

A function is discontinuous if it has breaks, jumps, or holes in its graph.

Limit:

The value that a function approaches as the input gets closer and closer to a certain point.

Intermediate Value Theorem:

If a continuous function takes on two different values at two points in an interval, then it must also take on every value between those two points within the interval.