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Show that the function , is continuous, but not differentiable at .

Mathematics20194 marksDerivation
Show that the function $f(x) = |x - 4|$, $x \in \mathbb{R}$ is continuous, but not differentiable at $x = 4$.

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Continuity, Differentiability and Differentiation

From ISC 2019 Mathematics Paper 1, question 5(a).