
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 expressions, the correct ones are __________. (Write down all the numbers of the options you think are correct)  
(1) $$[(-2)^{2}]^{ \frac {1}{2}} = -\frac {1}{2}$$;  
(2) Given $$\log_{a} \frac {3}{4} < 1$$, then $$a > \frac {3}{4}$$;  
(3) The graph of the function $y=3^{x}$ is symmetric to the graph of the function $y=-3^{-x}$ with respect to the origin;  
(4) The function $$y=x^{ \frac {1}{2}}$$ is an even function;  
(5) The increasing interval of the function $y=\lg(-x^{2}+x)$ is $(-\infty, \frac {1}{2}]$.

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