
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 that $f(x)$ is a decreasing function defined on $(-\infty, +\infty)$ as follows:
\[f(x)=
\begin{cases}
(3a-1)x+4a & x < 1 \\
a^{x} & x > 1
\end{cases}
\]
Determine the range of values for $a$.

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