1. Ticket in the Door 3-29 Solving Radical Inequalities Solve the following inequalities for x. Show work! 1. 2. 3.4. 5. 6.

2. Analyzing and Graphing Radical Functions Square Roots: Domain: Set inside of square root > 0, and solve for x. Range: 1. If + square root, range is y > # after radical(0 if no number) 2. If – square root, range is y < # after radical(0 if no number) Graphing: 1.Plot parent points – (0, 0), (1, 1), (4, 2) and (9, 3). 2.List all transformations applied to the square root(shifts, reflections, etc.) 3. Apply transformations listed to each parent point, then connect resulting set of points. Cube roots: Domain and Range = All Real Numbers. Graphing: 1.Plot parent points – (-8, -2), (-1, -1), (0, 0), (1, 1), and (8, 2). 2.List all transformations applied to cube root(shifts, reflections, etc.) 3.Apply all transformations listed to each parent point, then connect resulting set of points.

3. EXAMPLES Analyzing/Graphing Radical Functions For each radical function below, identify the transformations, and then sketch the graph. 1.2. Domain: Range: Transformations: 3. 4. Domain: Range: Transformations Transformations: 5. 6. Domain: Range: Transformations: 7. 8. Domain: Range: Transformations:

4. Analyzing/Graphing Practice with Radical Functions For each radical function below, identify the transformations, and then sketch the graph. 1.2. Domain: Range: Transformations: Transformations 3. 4. Domain: Range: Transformations: Transformations 5. 6. Domain: Range: Transformations: Transformations 7. 8. Domain: Range: Transformations: Transformations :

5. Analyzing/Graphing Practice with Radical Functions For each radical function below, identify the transformations, and then sketch the graph. 9. 10. Domain: Range: Transformations: Transformations 11. 12. Domain: Range: Transformations: Transformations 13. 14. Domain: Range: Transformations: Transformations 15. 16. Domain: Range: Transformations: Transformations