Consider the following statements for f(x) = { 2 − x for 1 ≤ x ≤ 2; 3x − x² for x > 2 }:

1.The function is continuous at every point in the interval (1, ∞).

2.The function is differentiable at x = 1.5.

Which of the above statements is/are correct?

Mathematics 2014 NDA Mathematics 2014 NDA 2014

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