
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) = $\sqrt {3}$cos(2x - $\frac {π}{3}$) - 2sinxcosx.
(I) Find the smallest positive period and the symmetry center of f(x);
(II) Find the range of f(x) when x ∈ (-$\frac {π}{4}$, $\frac {π}{4}$].

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