Question

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

• A. $(-\infty ,\infty )$
• B. $[-2,\infty )$
• C. $[-2,3]$
• D. $(-\infty ,-2)$

Answer 1

The correct option is B $[-2,\infty )$

$f\left(x\right)=x^2-6x+7\Rightarrow f\left(x\right)=(x-3{)}^2-2$
So the range of the function will be
$[-2,\infty )$