
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 $f(x)=A\sin({ωx}+φ)(A > 0, ω, 0, |φ| < π)$, in the same period, when $x=\dfrac{π}{12}$, $f(x)$ reaches its maximum value $3$; when $x=\dfrac{7}{12}π$, $f(x)$ reaches its minimum value $-3$.
(I) Find the analytical expression of the function $f(x)$;
(II) If $x∈\[- \dfrac{π}{3}, \dfrac{π}{6} \]$, the range of the function $f(x)$.

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