
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 $f(x)= \sqrt {6}\sin \dfrac {x}{2}\cos \dfrac {x}{2}+ \sqrt {2}\cos ^{2} \dfrac {x}{2}$,
(1) Simplify the function $f(x)$ into the form of $A\sin (ωx+φ)+B(A > 0,φ > 0,φ∈[0,2π))$;
(2) Find the monotonically decreasing interval of $f(x)$, and indicate the minimum positive period of the function ($|f(x)|$);
(3) Find the maximum and minimum values of the function $f(x)$ on the interval $[ \dfrac {π}{4}, \dfrac {7π}{6}]$.

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