Thread: Just wondering

Find the domain and range of the function: f(x) = x^2 + 11

I have the domain as (-∞,∞) and the range as (11,∞). did I get them right?

Originally Posted by dc52789

Find the domain and range of the function: f(x) = x^2 + 11

I have the domain as (-∞,∞) and the range as (11,∞). did I get them right?

Yes

The domain is (-∞,∞) because you can compute f(x) for every x real

The range is (11,∞) because whatever x real
For each ordinate y greater than 11 you can find at least one abscissa x for which f(x) = y