
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 odd function $f(x)=ax^{3}+bx^{2}+cx+d$, where $(a,b,c,d∈R)$, satisfies $f(1)=1$. If for any $x∈[-1,1]$, we have $|f(x)|≤slant 1$ holds true, then the range of the real number $a$ is _____.

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