
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
The function $f(x)= \begin{cases} a^{x} & (x < 0) \\ (a-3)x+4a & (x\geqslant 0) \end{cases}$ satisfies $[f(x_{1})-f(x_{2})](x_{1}-x_{2}) < 0$ for any $x_{1}$, $x_{2}$ in its domain. Determine the range of values for $a$.

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