1. Radical Expressions and Functions 10.1 1.Find the n th root of a number. 2.Approximate roots using a calculator. 3.Simplify radical expressions. 4.Evaluate radical functions. 5.Find the domain of radical functions. 6.Solve applications involving radical functions.

2. Write as many perfect squares as you can. Write as many perfect cubes as you can.

3. Rational expression ↔ fraction Irrational expression ↔ radical radicand root or index radical

4. = Not a real number

5. We CANNOT take an even root of a negative number. The radical symbol represents the positive root. Evaluating nth roots We CAN take an odd root of a negative number. If the index is even, there are 2 roots: one positive, one negative. The positive number is the principle root.

6. Rational expression Irrational expression Exact value Approximate with calculator

7. Radical function: A function containing a radical expression whose radicand has a variable. Given f(x) = find f(3).

8. Graph. Domain: The radicand must be greater than or equal to 0.

9. Find the domain. Domain:

10. Find the domain. Domain:

11. Slide 10- 11 Copyright © 2011 Pearson Education, Inc. Find the domain of f(x) =. a) b) c) d)

12. Slide 10- 12 Copyright © 2011 Pearson Education, Inc. Find the domain of f(x) =. a) b) c) d)