Functions Question 340
Question: If the domain of function $ f(x)=x^{2}-6x+7 $ is $ (-\infty ,\ \infty ) $ , then the range of function is
[MP PET 1996]
Options:
A) $ (-\infty ,\ \infty ) $
B) $ [-2,\ \infty ) $
C) $ (-2,\ 3) $
D) $ (-\infty ,\ -2) $
Show Answer
Answer:
Correct Answer: B
Solution:
$ x^{2}-6x+7={{(x-3)}^{2}}-2 $ Obviously, minimum value is ? 2 and maximum $ \infty $ . Hence range of function is [?2, ¥].