(e) f(x1,x2) = xỉ/x2 on R x R++.

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
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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) ƒ(x1,x2) = x1x2 on RÍ+:
(c) f(x1, x2) = 1/(@1#2) on R+.
(d) f(x1,x2) = 1/x2 on R?+.
(e) f(x1, x2) = xỉ/x2 on R x R++.
(f) f(x1,x2) = xi a-ª, where 0 < a < 1, on R?+.
Transcribed Image Text: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) ƒ(x1,x2) = x1x2 on RÍ+: (c) f(x1, x2) = 1/(@1#2) on R+. (d) f(x1,x2) = 1/x2 on R?+. (e) f(x1, x2) = xỉ/x2 on R x R++. (f) f(x1,x2) = xi a-ª, where 0 < a < 1, on R?+.
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