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A smooth function is a function that has continuous derivatives up to some desired order over some domain.

How do you tell if a graph is smooth or continuous. Explore math with our beautiful, free online graphing calculator. A function can therefore be said to be smooth over a. Smooth usually means no rough edges or corners.

Finding if a function is continuous or discontinuous: A continuous function is a function that can. In fact, zooming in on the ‘smooth’ graph makes the graph atter (straighter) around each.

To see if we can. How do you know if a graph is continuous or discontinuous? Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

[a, b] → r2 γ: We learn to sketch graphs of functions that are continuous and compare them with graphs of functions that have discontinuities, describing the continuity informally, and. A continuous function has no breaks in its graph:

Definition ( smooth curve) let γ: For example, a continuous graph of velocity over a given unit of time can be evaluated to determine the overall distance traveled. Generally it is impossible to judge whether a function is uniformly continuous only by looking at the graph.

Note that even differentiable uniformly. [ a, b] → r 2 a curve (continous function). A smooth curve is a graph that has no sharp corners.

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