Let \( f(x) \) be a continuous function given by P \( f(x)=\left\{\...

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Let \( f(x) \) be a continuous function given by
P \( f(x)=\left\{\begin{array}{cc}2 x, & |x| \leq 1 \\ x^{2}+a x+b, & |x|1\end{array}\right. \), then

W If \( f(x) \) is continuous for all real \( x \) then the value of \( a^{2}+b^{2} \) is
(1) 3
(2) 4
(3) 5
(4) 11
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