
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 function $$y=\sin(2x- \frac {π}{4})$$ is shifted to the left by $$\frac {π}{4}$$ units. Determine the maximum value of $m$ such that the corresponding function of the resulting graph is monotonically increasing in the interval $$[-m, m]$$.

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