
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 graph of the function $f(x) = A \sin(ωx + φ) (A > 0, ω > 0, |φ| < \frac{π}{2})$, the coordinates of the adjacent highest and lowest points are $(\frac{5π}{12}, 3)$ and $(\frac{11π}{12}, -3)$ respectively.

1. Find the analytic expression of the function.
2. If $x \in [0, \frac{7π}{12}]$, find the range of $f(x)$.

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