3.16 For each of the following functions determine whether it is convex, concave, quasiconvex, or quasiconcave. (a) f(x) = eª – 1 on R. (b) f(x1, x2) = x1x2 on Rị+: (c) f(r1, x2) = 1/(1x2) on R+. (d) f(x1,x2) = 1/x2 on R+. (e) f(x1, x2) = xỉ/x2 on R x R++: (f) f(x1,x2) = xf x-ª, where 0
3.16 For each of the following functions determine whether it is convex, concave, quasiconvex, or quasiconcave. (a) f(x) = eª – 1 on R. (b) f(x1, x2) = x1x2 on Rị+: (c) f(r1, x2) = 1/(1x2) on R+. (d) f(x1,x2) = 1/x2 on R+. (e) f(x1, x2) = xỉ/x2 on R x R++: (f) f(x1,x2) = xf x-ª, where 0
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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