If \( f(x)=\left\{\begin{array}{ll}|x|-3, & x1 \\ |x-2|+a, & x \geq 1\end{array}\right. \) and \...

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If \( f(x)=\left\{\begin{array}{ll}|x|-3, & x1 \\ |x-2|+a, & x \geq 1\end{array}\right. \) and \( g(x)=\left\{\begin{array}{ll}2-|x|, & x2 \\ \operatorname{sgn}(x)-b, & x \geq 2\end{array}\right. \)
\( \mathrm{P} \) and \( h(x)=f(x)+g(x) \) is discontinuous at exactly one point,

W then which of the following values of \( a \) and \( b \) are possible?
(1) \( a=-3, b=0 \)
(2) \( a=2, b=1 \)
(3) \( a=2, b=0 \)
(4) \( a=-3, b=1 \)
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