
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 $g(x)=mx+2$ and $f(x)=x^{2}-2x$, if for all $x\_1\in[-1,2]$ there exists an $x\_0\in[-1,2]$ such that $g(x\_1)=f(x\_0)$ holds true, then the range of values for $m$ is _____.

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