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, ¥].