
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
Given the function $f(x)=\ln x+x^{2}-ax$.
(I) When $a=3$, find the extreme values of the function $f(x)$;
(II) If the function $f(x)$ is increasing in its domain, find the range of values for the real number $a$;
(III) Under the conditions of (II), if $f(x)\leqslant \frac {1}{2}(3x^{2}+ \frac {1}{x^{2}}-6x)$ holds true for $x\in(0,1]$, find the range of values for the real number $a$.

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