
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 the function $f(x)=\begin{cases} & 2x^{2}-3x, & x\leqslant 0 \\ & e^{x}+e^{2}, & x > 0 \end{cases}$, if the inequality $f(x)\geqslant kx$ always holds for $x\in \mathbb{R}$, then the range of the real number $k$ is __________.

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