
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
Write a function that simultaneously satisfies the following three properties: $f\left(x\right)=\_\_\_\_\_\_.$  
① The function $g\left(x\right)=f\left(x\right)-1$ is an exponential function.  
② $f\left(x\right)$ is monotonically decreasing.  
③ $f\left(-1\right) \gt 3$.

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