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 $\displaystyle f(x) \geq 11$
For each ordinate y greater than 11 you can find at least one abscissa x for which f(x) = y