1. Identify that the square root is nonnegative and that the expression under the square root must be nonnegative. So the domain is all real x, y, z such that , and the range is , since the smallest value for the exponent is 0, and there is no largest value for the exponent.

2. The natural logarithm only takes positive arguments. Hence the domain is all real x, y, z such that . The range is .

3. Again, the square root is nonnegative and the expression under the square root must be nonnegative. So the domain is all real x, y such that , and the range is , since is unbounded from above.