convex downward function

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.

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

Georg Cantor