
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 $f(x)=\sin x(\cos x- \sqrt {3}\sin x)$.
(I) Find the smallest positive period of the function $f(x)$;
(II) The graph of the function $y=\sin 2x$ is translated to the left by $a(0 < a < \dfrac {π}{2})$ units and downwards by $b$ units to obtain the graph of the function $y=f(x)$. Find the value of $ab$;
(III) Find the range of the function $f(x)$ on $[0, \dfrac {π}{2}]$.

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