
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
For the function $y=f\left(x\right)$, if there exists $x_{0}$ such that $f(-x_{0})=-f(x_{0})$, then the points $(x_{0}$,$f(x_{0}))$ and $(-x_{0}$,$f(-x_{0})$) are both called "quasi-singular points" of the function $f\left(x\right)$. Given the function $f\left(x\right)=\left\{\begin{array}{l}{16-ax,x>0}\\{6x-x^{3},x\leq 0}\end{array}\right.$, if the function $f \left(x\right)$ has $5$ "quasi-singular points", then the range of the real number $a$ is ______.

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