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Let f(x) be defined as follows: f(x) = [2x + 1, -3 ≤ x < -2 [-x – 1, -2 ≤ x < 0 [x + 2, 0 ≤ x < 1 Which one of the following statements is correct in respect of the above function?

Mathematics 2017 NDA Mathematics 2017 NDA 2017

Options

It is discontinuous at x = -2 but continuous at every other point.

It is continuous only in the interval (-3, -2).

It is discontinuous at x = 0 but continuous at every other point.

It is discontinuous at every point.