
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 $f(x)=x^{2}+2x+a$, and the function $g(x)= \frac {1}{e^{x}}$, determine the range of the real number $a$ for which for any $x\_1\in[\frac {1}{2},2]$, there exists $x\_2\in[\frac {1}{2},2]$ such that $f(x\_1)\leqslant g(x\_2)$ holds true.

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