Convex function

A convex function is like the shape of a mountain. The top of a mountain is the highest point, and the sides slope downward. In the same way, a convex function is a kind of math equation that always goes up and then down like a mountain. The highest point of the equation is called the 'maximum value', and the lowest point is called the 'minimum value'. Convex functions are useful in mathematics because they can help explain certain kinds of relationships.