
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 range of values for $ω$ in the function $$f(x)=cos(ωx+ \frac {π}{4})(ω＞0)$$ within the interval $[0,π]$ is $\_\_\_\_\_\_$, given that the range of the function is $[-1, \frac { \sqrt {2}}{2}]$.

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