
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 a function $f\left(x\right)$ with two properties:<br/>① $f\left(x\right)$ is an increasing function on $R$;<br/>② For any $x\in R$, $f\left(x\right) \gt 1$.<br/>Write down an analytical expression for a function that satisfies both properties ① and ②, $f\left(x\right)=$____.

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