The minimum value of the function defined by \( f(x)=\max \) \( (x, x+1,2-x) \) is (a) 0 (b) \( ...

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The minimum value of the function defined by \( f(x)=\max \) \( (x, x+1,2-x) \) is
(a) 0
(b) \( \frac{1}{2} \)
(c) 1
(d) \( \frac{3}{2} \)
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