
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 $y=A\sin (ωx+φ)(A > 0,ω > 0,|φ| < \dfrac {π}{4})$ whose graph passes through point $P( \dfrac {π}{12},0)$. The closest highest point to point $P$ on the graph is $Q( \dfrac {π}{3},5)$.

1. Find the analytical expression of the function.
2. Find the interval where the function $f(x)$ is increasing.

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