Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) = x3 +6x -27 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer using interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) O B. The function is never increasing.Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) = x5 - 3x + 10 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) O B. The function is never increasing.- 32+10 step 1 ! f' (xx ) 2 3 x 7- 3 flap is increase when f (2) 7 0 ama fez ) is decrease when ?'(x 10. f ' (x ) 7 0 as, 3 x7 - 37 0 on 1 x - 170 or , (2 - 1) ( 2( + 1 ) > 0 Case - 1 2-170 and * +1 >0 x7 1 and 2 7- 1 So, no interval found. Case - 2 x -I co ama me+ 1