
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 $f(x)=4\sin x\cos (x+ \frac {π}{3})+4 \sqrt {3}\sin ^{2}x- \sqrt {3}$.
(I) Find the value of $f( \frac {π}{3})$;
(II) Find the equation of the symmetry axis of the graph of $f(x)$;
(III) Find the maximum and minimum values of $f(x)$ on the interval $[-\frac {π}{4}, \frac {π}{3}]$.

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