\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(f : [0, 1] \to \mathbb{R}\) be defined by \(f(x) = x\) for \(x \in [0, 1/2]\) and \(f(x) = x - 1\) for \(x \in \,]1/2, 1]\). Is \(f\) piecewise continuous?
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