For each of the following functions f(x) (x E R²), describe the sets V₁ ≥ 4 = { x | f(x) ≥ 4 } and V₁ ≤ 4 = { x | f(x) ≤ 4 } and show, by definition, which ones are convex: 2 2 a) f(x) = x₁² + x₂² c) f(x) = x₁ + x2 e) f(x) = X₁² b) f(x) = -x₁²x₂² d) f(x) = -X₁ - X2 2 f) f(x) -X₁²

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