
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 \\(f(x)=x^{2}-2ax+3\\) be a function defined on the interval \\([-2,2]\\).

\\((1)\\) When \\(a=1\\), find the maximum and minimum values of \\(f(x)\\);

\\((2)\\) If the maximum value of \\(f(x)\\) is \\(M\\) and the minimum value is \\(m\\), let the function \\(g(a)=M-m\\). Find the expression for \\(g(a)\\).

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