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$The function f (x) = max {1 - x, 1 + x, 2}, x \in (- \infty, \infty) is$

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continuous at all points

differentiable at all points

differentiable at all points except at x=1&x=−1&x=0

continuous at all points except at x=1&x=−1 , where it is discontinuous

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The function f(x)=max{1−x,1+x,2},x∈(−∞,∞) is

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$The function f (x) = max {1 - x, 1 + x, 2}, x \in (- \infty, \infty) is$