Convex function facts for kids

Convex function on an interval.

A function (in black) is convex if and only if the region above its graph (in green) is a convex set.

In mathematics, a convex function is any function with value of the weighted average of 2 points is less than or equal to the weighted average of the function at those points. Also, a function is convex if and only if its epigraph is a convex set.

Examples

Three examples are:

• A line:
• A parabola:
• Absolute value:

Images for kids

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  A graph of the bivariate convex function x2 + xy + y2.

See also

In Spanish: Función convexa para niños