\({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {3{{\rm{x}}^2} + 12{\rm{x}} - 1,{\rm{\;\;}} - 1 \le {\rm{x}} \le 2}\\ {37 - {\rm{x}},{\rm{\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;}}2 < {\rm{x}} \le 3} \end{array}} \right.\)Which of the following statements is/are correct?1. f(x) is increasing in the interval [-1, 2]2. f(x) is decreasing in the interval (2, 3).Select the correct answer using the code given below:

• A. 1 only
• B. 2 only
• C. Both 1 and 2
• D. Neither 1 nor 2