
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 $f(x)=A\sin (wx+φ) (A > 0, w > 0, 0 < φ < \dfrac {π}{2})$ with the smallest positive period of $π$ and a lowest point on the graph of $M( \dfrac {2π}{3},-2)$,
1. Find the analytical expression of $f(x)$.
2. Find the range of $f(x)$ when $x \in [0, \dfrac {π}{2}]$.

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