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Let \( f:[2, \infty) \rightarrow \mathbf{R} \) be the function defined by \( f(x)=x^{2}-4 x+5 \), then the range of \( f \) is
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(A) \( \mathbf{R} \).
(B) \( [1, \infty) \)
(C) \( [4, \infty) \)
(B) \( [5, \infty) \)
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