
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 $f(x) = (m-3)x^3 + 9x$.
(1) If the function $f(x)$ is monotonic on the interval $(-\infty, +\infty)$, determine the range of values for $m$.
(2) If the maximum value of the function $f(x)$ on the interval $[1, 2]$ is 4, find the value of $m$.

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