Question

Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x)=x -3x+6 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.) OB. The function is never increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is decreasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as deeded.) B. The function is never decreasing. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type internes or simplified fractions.) O A. The function has a local minimum f( and no local maximum OB. The function has a local maximum and a local minimum f Click to select and enter your answer(s).

Answer 1

こ fla) = a3_zatb fllas=32²- 30) to 322_3 flawo 3102-1)=0 a=t flao flco f! 10 @ function is increasing A. The L-0, -1) (1,0). A. The function is decreasing on 1,1) f(-1)=-1+3+6=8 fli 1-3+6=4 madimum function has a local veiting' B. The minimum and local a 18 Fl-1) = f(1) = 4