
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 that \\(f′(x)\\) is the derivative of the function \\(f(x)= \dfrac {1}{3}ax^{3}+(3-a)x^{2}-7x+5\\) where \\(a > 0\\), and \\(|f′(x)| \leqslant 7\\) always holds when \\(x \in [-2,2]\\), then \\(f(x)=\\)\_\_\_\_\_\_．

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