Web Reference: A function that is continuous on the interval (the whole real line) is often called simply a continuous function; one also says that such a function is continuous everywhere. A function is continuous when its graph is a single unbroken curve ... that you could draw without lifting your pen from the paper. Feb 23, 2026 · A function is said to be continuous on an interval if it is continuous at every point within that interval. In other words, the graph of the function shows no breaks, jumps, or discontinuities throughout the interval.
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