
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 $f(x)=kx^{2}+(3+k)x+3$, where $k$ is a constant and satisfies $f(2)=3$.

(I) Find the maximum and minimum values of the function $f(x)$ on $[-1,4]$.

(II) Let the function $g(x)=f(x)-mx$. If the function $g(x)$ is monotonic on the interval $[-2,2]$, find the range of the real number $m$.

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