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    Convex Set

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    Let f(x) be a real-valued function and let I be an interval. If the graph of f(x) lies above all of its tangent lines on I, then f(x) is concave upward on I.

    A set is a collection of objects (often numbers). These objects are called the elements of the set.

    Details

    concepts involved | function | interval | tangent line
related concepts | concave downward function | concavity test | first derivative test

    Associated people

    Georg Cantor

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