Remember when you have a root that is an odd power, the range includes all real numbers. If the root is an even power, the range is all real numbers from zero to infinity.

 

The domain for a root that is an odd power is all real numbers except in the event that the radical is in the denominator. In such a case, we must make sure the value does not make the denominator equal to zero.

 

The domain for a root that is an even power is all real numbers that makes the expression under the radical greater than or equal to 0. The only exception is if the radical is in the denominator, then we must make sure the domain is all values that make the expression under the radical greater than 0.