
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 $f(x)=ax^{3}+bx^{2}-3x$ has extreme values at $x=±1$.

(Ⅰ) Discuss whether $f(1)$ and $f(-1)$ are the maximum or minimum values of the function $f(x)$;

(Ⅱ) Draw a tangent line to the curve $y=f(x)$ at point $A(0,16)$. Find the equation of this tangent line.

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