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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 …

In its simplest form the domain is all the values that go into a function. Example: 1/ (x−1) At x=1 we have: So there is a "discontinuity" at x=1. So f (x) = 1/ (x−1) over all Real Numbers is NOT …

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 graph at that …

In preparation for defining continuity on an interval, we begin by looking at the definition of what it means for a function to be continuous from the right at a point and continuous from the left at a point.

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.