
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 $f(x)=\sin ^{2}x+2 \sqrt {3}\sin x\cos x+3\cos ^{2}x+m\; \;(m∈R)$.
(I) Find the monotonically increasing interval and the equation of the axis of symmetry for the function $f(x)$;
(II) When $x∈[0, \frac {π}{3}]$, the maximum value of $f(x)$ is $9$, find the value of the real number $m$.

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