A function f : R → R is defined as f(x) = x² for x ≥ 0 and f(x) = –x for x < 0.
Consider the following statements in respect of the above function:

1. The function is continuous at x = 0.

2. The function is differentiable at x = 0.


Which of the above statements is/are correct?

Mathematics 2013 NDA Mathematics 2013 NDA 2013

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