
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 $f(x)= \begin{cases} x^{2},x\leqslant 0 \\ -x^{2},x > 0 \\ \end{cases}$
1. Find $f[f(2)]$ and determine the parity (even or odd) of the function $f(x)$;
2. If for any $t\in[1,2]$, $f(t^{2}-2t)+f(k-2t^{2}) < 0$ always holds, find the range of values for the real number $k$.

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