For example, are quasiconvex (in fact, quasilinear) functions whose sum is not quasiconvex.
* The sum of quasiconvex functions defined on different domains (i.e. if are quasiconvex, ) need not be quasiconvex. Such functions are called "additively decomposed" in economics and "separable" in mathematical optimization. For example, defined for positive is quasiconvex, but is not quasiconvex on the positive orthant.

Examples

* Every convex function is quasiconvex.
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