
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 $f(x)=2\sin ( \frac {π}{4}-x) \cdot \sin ( \frac {π}{4}+x)-2 \sqrt {3}\sin x\cos (π-x)$.
(I) Find the interval(s) where $f(x)$ is monotonically increasing;
(II) Translate the graph of the function $y=f(x)$ to the left by $\frac {π}{12}$ units, then multiply the x-coordinates of the resulting graph by 2 (leaving the y-coordinates unchanged) to obtain the graph of $y=g(x)$. Find the range of $g(x)$ on $[0, \frac {5π}{6}]$.

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