1. Warmup 3-24 Simplify. Show work! 1. 2. 3. Solve for x. Show work! 4. 5.

2. Analyzing/Graphing EXAMPLES with Rational Functions For each rational function below, identify the transformations, horizontal asymptote, vertical asymptote, domain, and range. Then sketch the graph. 1. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: _________ Range: _______ 2. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______ 3. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______ 4. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______ 5. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______

3. Analyzing/Graphing Practice with Rational Functions For each rational function below, identify the transformations, horizontal asymptote, vertical asymptote, domain, and range. Then sketch the graph. 1. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: _________ Range: _______ 2. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______ 3. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______ 4. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______ 5. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______

4. Analyzing/Graphing Practice with Rational Functions For each rational function below, identify the transformations, horizontal asymptote, vertical asymptote, domain, and range. Then sketch the graph. 6. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: _________ Range: _______ 7. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______ 8. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______ 9. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______ 10. Transformations: Vertical Asymptote: _______ Horizontal Asymptote: _______ Domain: __________ Range: _______

5. Algebra 2 Extra Practice Solving Rational Equations Solve for x. Show work! 1. 2. 3. 4. 5. 6.

6. Algebra 2 Extra Practice Solving Rational Equations Solve for x. Show work! 7. 8. 9. 10. 11

7. Algebra 2 Solving Radical Equations In each problem below, solve for x. Show work! 1.  (x + 17) = 92.  (3x – 5) = 7 3.  (9x – 63) = 184.  (5x + 85) = 15 5.  (4x +28) + 32 = 486.  (7x – 91) – 56 = -42 7.  (11x – 132) - 55 = -338.  (8x + 112) + 32 = 56 9.3  ( 6x – 24) = 3610. 8  (2x + 38) = 112 11.-5 3  (7x + 49) = -3512. -12 3  (4x – 56) =-48 13. 2 3  (8x + 72) + 24 = 3214. 9 3  (3x – 51) - 34 = 20

8. Algebra 2 Solving Radical Equations In each problem below, solve for x. Show work! 15. -14 3  (7x + 98) - 119 = -2116. -10 3  (5x – 95) + 65 = 15 17.  (12x – 25) =  (9x + 14) 18.  (9x + 34) =  (15x - 32) 19. 3  (17x + 45) = 3  (6x + 199) 20. 3  (8x – 73) = 3  (21x – 8) 21. 4  (3x - 18) - 78 = -7222. -5 4  (15x + 105) = -50 23. 8 4  (4x - 76) + 112 = 14424. -12 4  (6x + 54) - 66 = -102 25. 4  (19x - 73) = 4  (5x + 11)