The function f (x) = max. (1 – x), (1 + x), 2 , x ∈ (–∞, ∞), is

Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability

1. continuous at all points
2. differentiable at all points
3. differentiable at all points except at x = 1 and x = –1.
4. continuous at all points except at x = 1 and x = –1,
   where it is discontinuous.

Answer

(A) continuous at all points, (C) differentiable at all points except at x = 1 and x = –1.

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