
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 the function $f(x)=e^{ax}⋅( \frac {a}{x}+a+1)$, where $a\geqslant -1$.
(I) Find the interval where $f(x)$ is monotonically decreasing.
(II) If there exist $x_{1} > 0$ and $x_{2} < 0$ such that $f(x_{1}) < f(x_{2})$, find the range of $a$.

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