
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
Let the function $f(x) = (x-2)e^{x} + \frac{1}{2}ax^{2} - ax$.

(1) Discuss the monotonicity of $f(x)$.

(2) Given $a=1$, and for $x \geqslant 0$, $f(x) \geqslant kx - 2$, find the range of values for $k$.

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