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  4. If the domain of the function f(x)= x2 - 6x + 7 is (- ∞ , ∞), then the range of function is

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Q. If the domain of the function $f(x)= x^2 - 6x + 7$ is $(- \infty , \infty)$, then the range of function is

BITSATBITSAT 2011

Solution:

Now, $x^2 - 6x + 7 = (x - 3)^2 - 2 $
It is obvious that minimum value is $-2$ and maximum value is $\infty$.