
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
Let the function $y=f(x)$ be defined on $(-\infty,+\infty)$. For a given positive number $K$, define the function: $f\_K(x)= \begin{cases} f(x),f(x)\leqslant K \\ K,f(x) > K. \end{cases}$ Consider the function $f(x)=a^{-|x|}(a > 1).$ When $K= \dfrac {1}{a}$, determine the interval on which the function $f\_K(x)$ is monotonically decreasing.

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