
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 $a > 0$ and $a \neq 1$, the function $f(x)=\begin{cases}(a-1)x+3a-4, & \text{if } x\leqslant 0 \\ a^{x}, & \text{if } x > 0\end{cases}$ is an increasing function on $(-\infty,+\infty)$. Determine the range of values for $a$.

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