Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.

f(x)=2x33x2120x

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The function is increasing on

enter your response here.

(Type your answer using interval notation. Use a comma to separate answers as needed.)

B.

There is no solution.