f(x) = { 3x² + 12x – 1, –1 ≤ x ≤ 2
    37 – x,    2 < x ≤ 3 }

Which of the following statements are correct ?

1. f(x) is continuous at x = 2.

2. f(x) attains greatest value at x = 2.

3. f(x) is differentiable at x = 2.

Select the correct answer using the code given below :

Mathematics 2016 NDA Mathematics 2016 NDA 2016

Options