
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 $f(x)=ax^{2}-(a+2)x+\ln x$.
- (I) When $a=1$, find the equation of the tangent line to the curve $y=f(x)$ at the point $(1,f(1))$.
- (II) When $a > 0$, if $f(x)$ has a minimum value of $-2$ on the interval $[1,e]$, find the range of $a$.
- (III) If for any $x_{1}$, $x_{2} > 0$, $x_{1}\neq x_{2}$, it always holds that $\dfrac {f(x_{1})-f(x_{2})}{x_{1}-x_{2}} > -2$, find the range of $a$.

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