
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 $$f(x)=4\cos{x}\sin{(x+ \frac {π}{6})}-4 \sqrt {3}\sin{x}\cos{x}+1$$．

1. Find the axis of symmetry for the graph of the function $f(x)$;
2. If $x \in [- \frac {π}{2}, \frac {π}{2}]$, find the interval(s) where the function $f(x)$ is strictly increasing.

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