
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
Consider the function $f(x)=\sin ^{2}x-( \frac {2}{3})^{|x|}+ \frac {1}{2}$, where $x\in[-\frac {π}{2}, \frac {π}{2}]$. There are four conclusions as follows:
(1) $f(x)$ is an odd function;
(2) $f(x) < \frac {3}{2}$ always holds;
(3) The maximum value of $f(x)$ is $\frac {3}{2}$;
(4) The minimum value of $f(x)$ is $-\frac {1}{2}$.
Which of these conclusions are correct?

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