* For an odd n > 1, consider the function f₁: R” → R defined by n-1 - f1(x) = (x − xixi+1 + x²¾+1) − x(n+1)/2′ - • (a) Is the function f1 convex? Justify. • (b) Is the function f₁ strictly convex? Justify.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 63RE
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* For an odd n > 1, consider the function f₁: R” → R defined by
n-1
-
f1(x) = (x − xixi+1 + x²¾+1) − x(n+1)/2′
-
•
(a) Is the function f1 convex? Justify.
•
(b) Is the function f₁ strictly convex? Justify.
Transcribed Image Text:* For an odd n > 1, consider the function f₁: R” → R defined by n-1 - f1(x) = (x − xixi+1 + x²¾+1) − x(n+1)/2′ - • (a) Is the function f1 convex? Justify. • (b) Is the function f₁ strictly convex? Justify.
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