Pointwise maximum of convex functions

The pointwise maximum of finitely many convex functions is convex because

max_{i} f_{i} (t x + (1 - t) y) \leq t max_{i} f_{i} (x) + (1 - t) max_{i} f_{i} (y) .

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Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 39 / 3 / c / Solution
Past exam of the mathematics course of the University of Cambridge / 2016 / iii / Paper 211 / 5 / c / Solution
Past exam of the mathematics course of the University of Cambridge / 2021 / ib / Paper 1 / 7H / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 339 / 1 / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 339 / 1 / d / Solution

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