
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 an odd function defined on \\(\mathbb{R}\\), and when \\(x \geqslant 0\\), \\(f(x) = a^{x} - 1\\), where \\(a > 0\\) and \\(a \neq 1\\).
\\((1)\\) Find the value of \\(f(2) + f(-2)\\);
\\((2)\\) Find the explicit formula for \\(f(x)\\).

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