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

MCQ

If the domain of function $f(x) = {x^2} - 6x + 7$ 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
(b) ${x^2} - 6x + 7 = {(x - 3)^2} - 2$

Obviously, minimum value is $-2$ and maximum $\infty $.

Hence range of function is $[-2, \infty].$

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