
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 $f(x)=e^{x}+ax-1 (a∈R)$.
(I) Find the monotonic intervals of the function $f(x)$;
(II) Let $g(x)= \frac {e^{2}(x^{2}-a)}{f(x)-ax+1}$. When $g(x)$ has two extreme points $x_{1}$, $x_{2}(x_{1} < x_{2})$, there is always $\lambda[(2x_{1}-x_{1}^{2})e\,^{2-x_{1}}-a]-x_{2}g(x_{1})\geqslant 0$. Find the value or range of the real number $\lambda$.

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