(a) Show that the function f defined as follows for x = (x1, x2) R2 is...

 

Transcribed Image Text:

(a) Show that the function f defined as follows for x = (x1, x2) R2 is a convex function. f(x) = max{x1, x2} (b) If fi and f2 defined on the convex set S are convex functions, show that the following function is also a convex function. f(x) = max{f1(x), 2(x)} (c) If fi and f2 defined on the convex set S are quasiconvex functions, show that the following function is also a quasiconvex function. f(x) = max{f(x), 2(x)} f(x)} (a) Show that the function f defined as follows for x = (x1, x2) R2 is a convex function. f(x) = max{x1, x2} (b) If fi and f2 defined on the convex set S are convex functions, show that the following function is also a convex function. f(x) = max{f1(x), 2(x)} (c) If fi and f2 defined on the convex set S are quasiconvex functions, show that the following function is also a quasiconvex function. f(x) = max{f(x), 2(x)} f(x)}

Answer rating: 100% (QA)

a To show that the function fx maxx1 x2 is convex we need to show that for any two points x y in R a... View the full answer