
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 $f(x)=\frac{{ax+b}}{{{x^2}+1}}$ is an odd function defined on $\left[-2,2\right]$, and $f(\frac{1}{2})=\frac{4}{5}$.<br/>$(1)$ Find the analytical expression of $f\left(x\right)$;<br/>$(2)$ Let the range of $f\left(x\right)$ be set $A$, and set $B=\left[1-m,2m\right]$. If $A\subseteq B$, find the range of values for $m$.

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