3. AP Calculus WHY YES … BECAUSE … YOU’RE IN... Mandatory Graphs OH NO … WORK ALREADY??? What he say? Come again... Lot’s of hard work Lot’s of FUN!!!

4. AP Calculus

9. … Is there a ceiling?? … Is there a floor??? What happens to y as x  or x  -  … or as x  c...

10. Or as we say in the business: “CONCAVITY” Concave UpConcave Down

12. 1. Observe the graph... 2. State the equation... 3. Practice for reflex...

18. Domain: (- ,  ) Range:[0, )) Decreases ‘til x = 0, then Increases Constant UPWARD curvature... i.e. CONCAVE UP on (- ,  ) Minimum at (0, 0)...No upper bound There is a better way to state this... Decreasing on (- , 0] & Increasing on [0,  )

21. Domain: (- ,  ) Range:(- ,),) Increases for all x … (  x)... (- ,  ) DOWNWARD CONCAVITY: (- ,0) UPWARD CONCAVITY: (0,  ) No lower bound...No upper bound

22. TRANSFORMATIONS VERTICAL SHIFTS HORIZONTAL SHIFTS VERTICAL STRETCHES

30. 1

32. 1

34. Asymptotes

36. RATIONAL FUNCTIONS

41. 1

44. 1 Asymptotic

46. 1

50. Also known as...

57. Allow me to introduce you To a few of my other friends!

61. The Greatest Integer of x