# At a Glance - Continuity on an Interval

Now that we've got the idea of a continuity at a point down, we can talk about what it means for a function to be continuous on an entire interval.

It shouldn't come as much of a surprise that we say a function *f* is continuous on the open interval (*a*,*b*) if *f* is continuous at every point *c* in (*a*,*b*), not including the points *a* and *b*.

In other words, *f* is continuous at every point in the interval (*a*, *b*).

If we try to graph a continuous function on this interval, we'll be able to draw a nice smooth curve from *a* to *b* without ever taking our pencil off the paper. We're going from Point A to Point B completely uninterrupted.

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