A) \[(-\infty ,0)\]
B) \[[-2,\infty )\]
C) \[(-\infty ,\infty )\]
D) \[(-\infty ,-2)\]
Correct Answer: B
Solution :
Let \[y=f(x)={{x}^{2}}-6x+7\] \[y={{x}^{2}}-6x+9+7-9\] \[={{(x-3)}^{2}}-2\] \[\Rightarrow \]Minimum value is \[-2\] and maximum value is \[\infty \] \[\therefore \]Required range is \[[-2,\infty ).\]
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