# What is the domain and range for  y = x^2 + 86?

Domain $\left(- \infty , + \infty\right)$ Range [86, $+ \infty$)
The domain of this function are all real values of x that is $\left(- \infty , + \infty\right)$
If it is solved for x, x= $\pm \sqrt{y - 86}$
Y can not have any value less than 86, because that would make x not a real number. Hence y would have all real values $\ge 86$.
The Range is thus $\left[86 , + \infty\right)$