
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
Regarding the "bisection method" for finding approximate solutions to equations, the correct statements are:  
(1) The "bisection method" can definitely obtain all the zeros of $y=f(x)$ within $[a, b]$;  
(2) It is possible that the "bisection method" cannot find the zeros of $y=f(x)$ within $[a, b]$;  
(3) When applying the "bisection method" to find approximate solutions to equations, it is possible that $y=f(x)$ has no zeros within $[a, b]$;  
(4) The "bisection method" might obtain the exact solution of $f(x)=0$ within $[a, b]$.

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