# For what value of the constants A and B is the function f(x)=x^2+bx+1 continuous for all X if x < 5?

$b$ can be any real number
$f \left(x\right) = {x}^{2} + b x + 1$ is a polynomial and is continuous for all real numbers $x$ and constants $b$. Hence $b$ can be any real number.