How do find the domain and range of ?

is undefined if the argument is negative, so you first need to require that



We're not done yet, though, because still doesn't exist when , so we remove this from the domain and we're left with , or in interval notation,

To find the range, consider the limits of the function as you approach either endpoint of the domain.




Since is positive everywhere, the range is

1. 8 or -82. 14 or -143. -11, -3, 0, 7, 10