1. Review: 3. What is an asymptote? 4. What is an end behavior model?

2. Answers: 3. 96 ft/s 6. 9. -15 12. 0 15. Does not exist 18. 8 21. -1/2 24. 2 27. 0 30. Possible Answer [-4.7,4.7] [-15,15] 33. 0 36. -1 38a,d,e,f,g,h,i: True b,c: False 4 7. y = x - 1, x≠1 50a. 4 b. -21 c. -12 d. -7/3 51b. c. No 54b. c. Yes 55b(-2π,0) ∪ (0,2π) c. 2π d. -2π 61. 0 64a. y = gt 2 g = 1.25 b. 5m/s c. 10 m/s

4. Vocabulary: Horizontal Asymptote: Occurs if or for any line y = b Vertical Asymptote: Occurs if or for any line x = a End Behavior Model: Take two different functions that are being divided and use limits to estimate what value they will approach.

5. Properties of Limits as x ±∞ If L, M, and k are real numbers and

6. Ex 1: Find the horizontal asymptotes for

7. Ex 2: Find

8. Ex 3: Find c. Does the limit as x approaches 2 exist? Why or why not?

9. Ex 4: Find the end behavior for: a) f(x) = 4x 5 - 5x 3 + 9x - 11 b) g(x) = -4x 2 + 8x 3 - x 4 c) h (x) = 6x -4 + 9x -2 + 8x -1

10. Ex 5: Find the end behavior for: a) f(x) = 5x 2 - 10x + 25b) g(x) = 4x 3 - 8x x 3 + 9xx 2 + 5

11. Ex 6: Find the left and right behavior for a) f(x) = e x - 2xb) g(x) = x 2 + sin x

12. Assignment: p76 #3-36(x3), 43, 46, 54-55, 59, 65, 68