
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 an odd function $f(x)$ defined on $R$, when $x\geqslant 0$, $f(x)=2^{x}+2x-1$.  
$(1)$ Find the analytical expression of the function $y=f(x)$, $x\in (-\infty, 0)$.  
$(2)$ Given $g(x)=mx^{2}-2x+9$, if for any $x_{1}\in (-1,3]$, there exists $x_{2}\in R$ such that $f(x_{1}) > g(x_{2})$ holds, find the range of values for $m$.

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