
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 $f(x)=2 \sqrt {2}\sin x\cos (x+ \frac {π}{4}).$

(I) In $\triangle ABC$, if $BC=2$, $AB= \sqrt {2}$, find the angle $B$ that makes $f(A- \frac {π}{4})=0$.

(II) Find the range of $f(x)$ in the interval $[ \frac {π}{2}, \frac {17π}{24}]$.

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