
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 $f(x)=[x]$ represents the maximum integer not exceeding $x$, for set $A={x∈N^⁎|2^x≤x^2}$ and set $B={y|y=f(x),x∈[-1,1)}$, determine the number of mappings that can be established from set $A$ to set $B$.

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