
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 $f(x)= \sqrt {3}\sin x\cos x- \sin ^{2}x+ \dfrac {1}{2}$,
(I) Find the interval where the function is increasing;
(II) In triangle $ABC$, the sides opposite to angles $A$, $B$, $C$ are $a$, $b$, $c$ respectively. If $f(A)= \dfrac {1}{2}$, $a= \sqrt {17}$, $b=4$, find the length of side $c$.

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