
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]


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The Environmental Research Institute of a city conducted a study on the daily environmental pollution situation in the city center and found that the relationship between the comprehensive environmental pollution index $f(x)$ and time $x$ (hours) is $$f(x)=\left| \frac {x}{x^{2}+1}+ \frac {1}{3}-a\right|+2a$$, where $x\in[0,24]$, and $a$ is a parameter related to the weather, with $$a\in[0, \frac {3}{4}]$$. If the maximum value of $f(x)$ each day is used as the daily comprehensive pollution index, denoted as $M(a)$, then:  
(1) Let $$t= \frac {x}{x^{2}+1}, x\in[0,24]$$, find the range of values for $t$;  
(2) Find the function $M(a)$;  
(3) The city government stipulates that the daily comprehensive pollution index must not exceed 2. What is the current comprehensive pollution index of the city center? Is it exceeding the standard?

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