
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
The correct ones among the following expressions are $\_\_\_\_\_\_$ (write down all the serial numbers that you think are correct)
$(1)\ [(-2)^{2}\]^{ \\frac {1}{2}}=- \\dfrac {1}{2}\$;
$(2)$ Given $\log \_{a} \\dfrac {3}{4} < 1$, then $a > \\dfrac {3}{4}$;
$(3)$ The graph of the function $y=3^{x}$ is symmetric to the graph of the function $y=-3^{-x}$ about 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 $(-∞, \\dfrac {1}{2}\]$.

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