
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 vectors $\overrightarrow{m}=( \frac {3}{2},-\sin x)$ and $\overrightarrow{n}=(1,\sin x+ \sqrt {3}\cos x)$, where $x\in R$, and the function $f(x)= \overrightarrow{m} \cdot \overrightarrow{n}$.
(1) Find the smallest positive period and range of $f(x)$;
(2) In triangle $\triangle ABC$, if the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$, respectively, and $f(A)=0$, $a= \sqrt {3}$, and $bc=2$, find the perimeter of $\triangle ABC$.

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