
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $$f(x)=\sin^{2}x+ \sqrt {3}\sin x\cos x+2\cos^{2}x，x∈R$$.
(I) Find the smallest positive period and the interval where the function is monotonically increasing;
(II) Find the maximum value of the function on the interval $$[- \frac {π}{3}， \frac {π}{12}]$$.

Present the answer in LaTex format: \boxed{Your answer}
user