Continuity is one of the core concepts of calculus and mathematical analysis, where arguments and values of functions are real and complex numbers. The concept has been generalized to functions …

A function is continuous when its graph is a single unbroken curve ... that you could draw without lifting your pen from the paper.

Nov 16, 2022 · From this example we can get a quick “working” definition of continuity. A function is continuous on an interval if we can draw the graph from start to finish without ever once picking up …

Nov 14, 2025 · We begin our investigation of continuity by exploring what it means for a function to have continuity at a point. Intuitively, a function is continuous at a particular point if there is no break in its …

The definition of continuity explained through interactive, color coded examples and graphs.

A function f (x) is said to be a continuous function at a point x = a if the curve of the function does NOT break at the point x = a. Learn more about the continuity of a function along with graphs, types of …

Intuitively, a function is continuous if you can draw the graph of the function without lifting the pencil. Continuity means that small changes in x results in small changes of f(x).