Consider the function \( f(x)=\frac{(x-1)}{\left(x^{2}-3 x+3\right)} \), then (a) \( f(x) \) dec...

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Consider the function \( f(x)=\frac{(x-1)}{\left(x^{2}-3 x+3\right)} \), then
(a) \( f(x) \) decreases in \( (0,2) \)
(b) \( f(x) \) decreases in \( (-\infty, 0) \)
- (c) The interval into which the function \( f(x) \) transforms the entire real line is \( [-1,3] \)
(d) \( f^{\prime}(x) \) is discontinuous for all \( x \in \mathrm{R} \)
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