
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 $f(x) = kx^2 + 2x$ is an odd function, and the function $g(x) = a^{f(x)} - 1$ ($a > 0$, and $a \neq 1$).  
(Ⅰ) Find the value of the real number $k$;  
(Ⅱ) Find the minimum value of $g(x)$ on the interval $[-1, 2]$.

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