\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(f \in \mathcal{CM}([a, b], \mathbb{R})\). Show that \(|f|\) is piecewise continuous on \([a, b]\). Hint: \(|\cdot|\) is continuous on \(\mathbb{R}\).
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