) Recall from class that, if f: R" → R is a convex function, then for all 3 € R, the level set {x ≤ R¹ : f(x) ≤ B} is a convex set. Prove that the converse of this implication is false.

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(d) Recall from class that, if f: RnR is a convex function, then for all ß ER, the level set
{x ER": f(x) ≤ B} is a convex set. Prove that the converse of this implication is false.
Transcribed Image Text:(d) Recall from class that, if f: RnR is a convex function, then for all ß ER, the level set {x ER": f(x) ≤ B} is a convex set. Prove that the converse of this implication is false.
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