Let f(x) = { –2, –3 ≤ x ≤ 0
       –x – 2, 0 < x ≤ 3 }
and g(x) = f(|x|) + |f(x)|

Which of the following statements are correct ?

1.g(x) is continuous at x = 0.

2.g(x) is continuous at x = 2.

3.g(x) is continuous at x = –2.

Select the correct answer using the code given below :

Mathematics 2016 NDA Mathematics 2016 NDA 2016

Options