
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
If the function $f(x)=\begin{cases} & (2a+3)x-4a+3, & \text{if } x\geqslant 1, \\ & a^{x}, & \text{if } x < 1 \end{cases}$ is increasing for $x\in\mathbb{R}$, then the range of values for $a$ is ______.

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