
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
Among the following four statements, the correct statement numbers are __________.

\\(⑴\\) The domain of the function \\(y=a^{x} (a > 0, a \neq 1)\\) is the same as the domain of the function \\(y=\log_{a}a^{x} (a > 0, a \neq 1)\\);

\\(⑵\\) The range of the function \\(y=x^{3}\\) is the same as the range of \\(y=3^{x}\\);

\\(⑶\\) The function \\(y=(x-1)^{2}\\) and \\(y=2x-1\\) are both increasing functions on \\((0, +\infty)\\);

\\(⑷\\) The function \\(y= \frac{1}{2}+ \frac{1}{{2}^{x}-1}\\) and \\(y=\log_{2} \frac{1+x}{1-x}\\) are both odd functions;

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