
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 $f(x)=2\sin x\cos x+ \sqrt {3}\cos 2x+2$.
(1) Find the interval(s) where $f(x)$ is monotonically increasing;
(2) Find the minimum and maximum values of the function $f(x)$ on the interval $\[- \frac {π}{3}, \frac {π}{3}\]$.

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