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

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Presentation on theme: "Section 9.1: Evaluating Radical Expressions and Graphing Square Root and Cube Root Functions."— Presentation transcript:

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.


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