
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 \\(a \in \mathbb{R}\\) be a constant, and the function \\(f(x) = a - \frac{2}{{2}^{x}+1}\\).  
\\((1)\\) Determine the value of \\(a\\) such that \\(f(x)\\) is an odd function.  
\\((2)\\) When \\(f(x)\\) is an odd function, find the range of \\(f(x)\\).

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