
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 a quadratic function $g(x)=mx^{2}-2mx+n+1$ ($m > 0$) with the maximum value $4$ and minimum value $0$ on the interval $[0,3]$.  
(Ⅰ) Find the explicit form of the function $g(x)$.  
(Ⅱ) Let $f(x)= \frac{g(x)-2x}{x}$. If $f(2^{x})-k\cdot2^{x}\leq 0$ for all $x\in[-3,3]$, find the range of values for $k$.

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