Continuity
In Mathematics, the term continuous has much the same meaning as it has in everyday usage. Informally, to say that a function f is continuous at x=c means that there is no interruption in the graph of f at c. That is its graph is unbroken at c and there are no holes, jumps or gaps. The diagrams below identify three values of x at which the graph of f is not continuous. At all other points in the interval (a, b), the graph of f is uninterrupted and continuous.
Learn more about continuity by reading the explanation below.
Practice: Determine continuity at a point and continuity on an open interval in the following exercises.