If the domain of function f ( x )=x^2-6 x+7 is (- , ), then the r… - Vidyadip

MCQ

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

A
$(-\infty, \infty)$
✓
$[-2, \infty)$
C
(-2, 3)
D
$(-\infty,-2)$

✓

Answer

Correct option: B.

$[-2, \infty)$

(B)
$x^2-6 x+7=(x-3)^2-2$
Here, minimum value is -2 and maximum $\infty$.
Hence, range of function is $[-2, \infty)$.

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