
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 $f(x)=(\sin x+\cos x)^{2}-2\cos ^{2}x+ \dfrac { \sqrt {2}}{2}$.
(Ⅰ) Find the smallest positive period of the function $f(x)$ and its intervals of monotonic increase;
(Ⅱ) If the graph of the function $f(x)$ is translated to the left by $ \dfrac {π}{24}$ units to obtain the graph of the function $g(x)$, find the range of the function $g(x)$ on the interval $\left[ \dfrac {π}{6}, \dfrac {2π}{3}\right]$.

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