
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 $$f(x)=\sin(x+ \frac {π}{3})\cdot \cos x- \sqrt {3}\cos^{2}x+ \frac { \sqrt {3}}{4}$$.
(1) Find the smallest positive period of the function $f(x)$ when $x \in \mathbb{R}$.
(2) If $$- \frac {π}{4}≤x≤ \frac {π}{4}$$, find the range of the function $f(x)$ and its zero points.

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