Question: how to know whether it is convex? (30%) Consider the function f : X - R with X = R', given by (a) Is the

how to know whether it is convex? (30%) Consider the function

how to know whether it is convex?

(30%) Consider the function f : X - R with X = R', given by (a) Is the domain of f convex? Is it closed? Is it bounded? (b) Is f convex? Is it strictly convex? (c) Redo (a) and (b) assuming the domain of f is X = (-0o, 0]3

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