
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 graphs of the functions $y=f(x)$ and $y=g(x)$ are symmetrical about the y-axis. If, in the interval $[a, b]$, the functions $y=f(x)$ and $y=g(x)$ are either both increasing or both decreasing, then the interval $[a, b]$ is called the "fixed interval" for the function $y=f(x)$. If the interval $[1,2]$ is the "fixed interval" for the function $y=|2^{x}-t|$, then the range of the real number $t$ is ______.

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