
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 $$f(x)= \begin{cases} \left.\begin{matrix}( \frac {1}{2})^{x}，&x\leq0 \\ \log_{2}(x+2)，&x>0\end{matrix}\right.\end{cases}$$, if $f(x_{0})\geq2$, then the range of $x_{0}$ is \_\_\_\_\_\_.

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