\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Apply the mean value inequality to show \(f : \mathbb{R} \to \mathbb{R}\), \(f(x) = \sqrt{x^2 + 1}\), is \(1\)-Lipschitz on \(\mathbb{R}\).
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