
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 statement is \_\_\_\_\_\_ (only fill in the number of the correct statement)
$①$ If set $A={y|y=x-1}$, $B={y|y=x^{2}-1}$, then $A∩B={(0,-1)}$, $((1,0))$;
$②$ $y= \sqrt {x-3}+ \sqrt {2-x}$ is a function expression;
$③$ $y= \dfrac { \sqrt {1-x^{2}}}{3-|3-x|}$ is a function that is neither odd nor even;
$④$ Given the quadratic function $f(x)=ax^{2}+bx+c(a≠ 0)$, if $f(x_{1})=f(x_{2})(x_{1}≠ x_{2})$, then $f(x_{1}+x_{2})=c$.

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