What is a non-convex function? Is it a concave function?

Annie French

Annie French

Answered question

2022-11-11

What is a non-convex function? Is it a concave function?

Answer & Explanation

mainzollbtt

mainzollbtt

Beginner2022-11-12Added 13 answers

A function which is not convex. Not necessarily concave!
For example f ( x ) = x 3 which is neither convex nor concave.
But If we only restrict ourself to quadratic functions defined on R , f : R R as OP pointed out in comments. Non convex function is concave. Because f = a must be negative .

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