
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
Let the function $$f(x)= \overrightarrow {m}\cdot \overrightarrow {n}$$, where $$\overrightarrow {m}=(2\cos x，1)$$, $$\overrightarrow {n}=(\cos x， \sqrt {3}\sin 2x)$$, and $$x\in\mathbb{R}$$.

(1) Find the smallest positive period and the intervals of monotonic decrease for $f(x)$;  
(2) Find the maximum and minimum values of $f(x)$ on the interval $$\left[- \frac {\pi}{6}， \frac {\pi}{4}\right]$$.

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