3.16 For each of the following functions determine whether it is convex, concave, quasiconvex, or quasiconcave. (a) ƒ(x) = eª – 1 on R. (b) f(x1,x2) = x1x2 on Rị+. (c) f(x1,x2) = 1/(x1x2) on R?+. (d)...

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3.16 For each of the following functions determine whether it is convex, concave, quasiconvex,<br>or quasiconcave.<br>(a) ƒ(x) = eª – 1 on R.<br>(b) f(x1,x2) =<br>x1x2 on Rị+.<br>(c) f(x1,x2) = 1/(x1x2) on R?+.<br>(d) f(x1,x2) = x1/x2 on R+.<br>(e) f(x1, x2) = xỉ/x2•<br>(f) f(x1,x2) = xf aª, where 0 <a< 1, on R?+.<br>2 2<br>on R × R++:<br>

Extracted text: 3.16 For each of the following functions determine whether it is convex, concave, quasiconvex, or quasiconcave. (a) ƒ(x) = eª – 1 on R. (b) f(x1,x2) = x1x2 on Rị+. (c) f(x1,x2) = 1/(x1x2) on R?+. (d) f(x1,x2) = x1/x2 on R+. (e) f(x1, x2) = xỉ/x2• (f) f(x1,x2) = xf aª, where 0

Jun 04, 2022

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3.16 For each of the following functions determine whether it is convex, concave, quasiconvex, or quasiconcave. (a) ƒ(x) = eª – 1 on R. (b) f(x1,x2) = x1x2 on Rị+. (c) f(x1,x2) = 1/(x1x2) on R?+. (d)...

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