
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
Define the operation $a*b= \begin{cases}a & (a\leqslant b) \\ b & (a > b)\end{cases}$. Then for $x\in\mathbb{R}$, the expression for the function $f(x)=1*x$ is $f(x)=$ ______.

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