1. Section 9.1: Evaluating Radical Expressions and Graphing Square Root and Cube Root Functions

2. 9.1 Lecture Guide: Evaluating Radical Expressions and Graphing Square Root and Cube Root Functions

3. The natural number n is the index or the order of the radical. Radical Notation denotes the principal nth root of x x is the radicand. is the radical symbol, or the radical. The natural number n is the index or the order of the radical.

4. Principal Square Root Algebraically Verbally Numerically For any real number : if and denotes the principal square root of x. Graphically by

5. Principal Cube Root Algebraically Verbally Numerically For any real number x: Graphically if y is a real number and denotes the principal cube root of x. by

6. Objective: Evaluate radical expressions.

7. Evaluate each expression. Use a calculator only to check your answer. 1. 2.

8. Evaluate each expression. Use a calculator only to check your answer. 3. 4.

9. Evaluate each expression. Use a calculator only to check your answer. 5. 6.

10. Evaluate each expression. Use a calculator only to check your answer. 7.

11. Evaluate each expression. Use a calculator only to check your answer. 8.

12. Evaluate each expression. Use a calculator only to check your answer. 9.

13. Evaluate each expression. Use a calculator only to check your answer. 10.

14. Objective: Graph square root and cube root functions.

15. 11. Type: x-intercept: y-intercept: Domain: Range: Table Graph

16. 12. Type: x-intercept: y-intercept: Domain: Range: Table Graph

17. Objective: Determine the domain of a square root function.

18. Domain of a Function The domain of a real-valued function set of all real numbers for which is the ____________________ ____________________ under a is also a real number. This means the domain excludes all values that cause division by ____________________ or cause a square root symbol.

19. 13.Determine the domain of using a calculator. Then graph without a window of using by to verify your result.

20. 14.Determine the domain of using a calculator. Then graph without a window of using by to verify your result.

21. Determine the domain of the following. Use a graphing calculator only as a check on your work. 15.

22. Determine the domain of the following. Use a graphing calculator only as a check on your work. 16.

23. Determine the domain of the following. Use a graphing calculator only as a check on your work. 17.

24. Determine the domain of the following. Use a graphing calculator only as a check on your work. 18.

25. 19.Givenevaluate each expression without a calculator.