If linear function is convex or concave? For example f(x)=x, is function whose second derivate is 0 so we cant tell anything using this criteria.

clealtAfforcewug

clealtAfforcewug

Answered question

2022-11-11

If linear function is convex or concave? For example f ( x ) = x, is function whose second derivate is 0 so we cant tell anything using this criteria.

Answer & Explanation

boursecasa2je

boursecasa2je

Beginner2022-11-12Added 15 answers

A linear function is both. Use this definition of convexity:
For any two points x 1 and x 2
a [ 0 , 1 ] f ( a x 1 + ( 1 a ) x 2 ) a f ( x 1 ) + ( 1 a ) f ( x 2 )
Flip inequality for concave.
spasiocuo43

spasiocuo43

Beginner2022-11-13Added 6 answers

Linear function is both convex and concave

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