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

Question

1789 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-16T08:06:01

Domain $(-oo,+oo)$ Range [86, $+oo$ )

The domain of this function are all real values of x that is $(-oo,+oo)$

If it is solved for x, x= $+-sqrt(y-86)$

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 $>=86$ .

The Range is thus $[86, +oo)$

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