Let \( f(x)=\left\{\begin{array}{ll}|x| & \text { for } 0|x| \leq 2...

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Let \( f(x)=\left\{\begin{array}{ll}|x| & \text { for } 0|x| \leq 2 \\ 1 & \text { for } x=0\end{array}\right. \) Then at \( x=0, f \) has
\( \mathrm{P} \)
(A) a local maximum
(B) no local maximum
W
(C) a local minimum
(D) no extremum
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