If \( f(x)=x^{2}-2|x| \) and
\[
g(x)=\left\{\begin{array}{l}
\min \{f(t): x \leq t \leq x+1,-2 \... VIDEO
If \( f(x)=x^{2}-2|x| \) and
\[
g(x)=\left\{\begin{array}{l}
\min \{f(t): x \leq t \leq x+1,-2 \leq x \leq 0\} \\
\max \{f(t): x \leq t \leq x+2,0 \leq x \leq 3\}
\end{array}\right.
\]
(a) Draw the graph of \( f(x) \) and \( g(x) \)
(b) Discuss the extremas of \( f(x) \) and \( g(x) \)
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