Quasiconvex function

Hi there! Have you heard of shapes called "convex" and "concave"? Well, a quasiconvex function is kind of like a convex shape! Let me explain.

Imagine you have a function that takes in some numbers and gives you a result. When you plot that function on a graph, you can see the shape it makes. If the shape is convex, then it looks a bit like a cup - it curves upwards and all the points inside the cup are lower than the edge.

A quasiconvex function is a little bit like a convex shape, but not quite the same. Instead of having a single cup shape, it might have multiple cups that overlap or a curve that goes up and down a bit. However, just like with a convex function, all the points inside the shape are lower than the edge.

So basically, a quasiconvex function is a function that doesn't always have a smooth, simple shape like a cup, but it still always slopes up overall and all the points inside are lower than the edge. Hope that helps!