
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 $f\left(x\right)=\left\{\begin{array}{l}{{2}^{x}-a,x≤0}\\{{x}^{2}-3ax+a,x＞0}\end{array}\right.$ When $a=0$, the range of $f\left(x\right)$ is ____; if $f\left(x\right)$ has three zeros, the range of $a$ is ____.

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