Consider the function \( f(x)=\left\{\begin{array}{cc}x-[x]-\frac{1...

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Consider the function \( f(x)=\left\{\begin{array}{cc}x-[x]-\frac{1}{2}, & \text { if } x \notin I \\ 0, & \text { if } x \in I\end{array}\right. \)
\( \mathrm{P} \)
W
where [.] denotes greatest integer function and \( I \) is the
set of integers, then \( g(x)=\max \left\{x^{2}, f(x),|x|\right\},-2 \leq x \leq 2 \)
is defined as
(a) \( x^{2},-2 \leq x \leq-1 \)
(b) \( 1-x,-1x \leq-\frac{1}{4} \)
(c) \( \frac{1}{2}+x,-\frac{1}{4}x0 \)
(d) \( 1+x, 0 \leq x1 \)
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