
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
The graph of the function $f(x)=A\sin (ωx+φ)$, where $x∈R (0, ω > 0, 0 < φ < \dfrac {π}{2})$, intersects with the $x$-axis. The distance between two adjacent intersection points is $\dfrac {π}{2}$, and one of the lowest points on the graph is $M( \dfrac {2π}{3},-2)$.

1. Find the analytical expression of the function $f(x)$ and its monotonically increasing interval.
2. Find the range of $f(x)$ when $x∈\[ \dfrac {π}{12}, \dfrac {π}{2}\]$.

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