" If "f(x)={[3x^(2)+12x-1,-1<=x<=2],[37-xquad ,2

f(x)={{:(3x^(2)+12x-1,-1lexle2),(37-x",",2ltxle3):} 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:

Show that the function f (x)={ {:(3x^(2) + 12 x - 1,- 1 le x le 2 ),(" "37 - x," "2 lt x le 3 ):} is continuous at x = 2

Show that the function f (x)={ {:(3x^(2) + 12 x - 1,- 1 le x le 2 ),(" "37 - x," "2 lt x le 3 ):} is continuous at x = 2

If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt x le 3):}, then

If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt x le 3):}, then

f(x)=x^(3)-12x+1, [-3, 5]