
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 that the function $y=f\left(x\right)$ is a periodic odd function defined on $R$ with a period of $2$, and when $x\in \left[0,1\right)$, $f(x)=\frac{x}{{x+1}}$, then $f({-\frac{9}{2}})=\_\_\_\_\_\_$; when $x\in \left(7,8\right]$, $f\left(x\right)=\_\_\_\_\_\_$.

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