1. Intervals of Increase and Decrease

2. Trace the function left to right.

12. The green intervals are going "up" and the blue interval is going "down".

13. 3
The green intervals are going "up" and the blue interval is going "down". B A C D
Is "up" and "down" vertical or 
horizontal concepts?
A. Vertical
B. Horizontal

14. The green intervals are going "up" and the blue interval is going "down".
Is "up" and "down" vertical or 
horizontal concepts?
A. Vertical
B. Horizontal

15. Vertical concepts ( ) are named on horizontal intervals( ).

16. Let's put in coordinates for the local max.
(15,20)

17. Let's put in coordinates for the local min.
(15,20)
(22,4)

18. Let's put in coordinates for the inflection point.
(15,20)
(32,20)
(22,4)

19. Let's put in coordinates for the endings.
(∞,∞)
(15,20)
(32,20)
(22,4)
(-∞,-∞)

20. Let's x out what we don't need.

21. On what interval(s) does this function increase?
Interval of Increase

22. On what interval(s) does this function increase?
Interval of Increase
(-∞,15)∪(22,∞)

23. On what interval(s) does this function decrease?
Interval of Decrease

24. On what interval(s) does this function decrease?
Interval of Decrease
(15,22)

25. Let's do another function
(8, 50)
(24, 50)
(16, 32)
(-6, 20)

26. If you were to give this ending coordinates, what would they be?

27. If you were to give this ending coordinates, what would they be?
(-∞,∞)

28. If you were to give this ending coordinates, what would they be?

29. If you were to give this ending coordinates, what would they be?
(∞,-∞)

30. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

31. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

32. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

33. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

34. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

35. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

36. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

37. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

38. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

39. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

40. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

41. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

42. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

43. Trace the function to find the intervals of increase and decrease.
Interval of Decrease
Interval of Increase

44. Let's x out what we don't need.
Interval of Decrease
Interval of Increase

45. What is the interval of decrease?
Interval of Increase

46. What is the interval of increase?
Interval of Decrease
Interval of Increase
(-∞,-6)∪(8,16)∪(24,∞)

48. Let's determine the increasing and decreasing intervals for this function.
(-18,16)
(17,7)
(12,5)
(-10,5)
(20,5)
(14,-1)

49. What type of interval is this?

50. What type of interval is this?
Constant Interval

51. Trace the function.
(-18,16)
(17,7)
(12,5)
(-10,5)
(20,5)
(14,-1)

52. Put in coordinates of the ending.
(-18,16)
(∞,-∞)
(17,7)
(12,5)
(-10,5)
(20,5)
(14,-1)
(-∞,-∞)

53. out what is not needed. (∞,-∞) (-∞,-∞) (-18,16) (17,7) (12,5) (-10,5)
(20,5)
(14,-1)
(-∞,-∞)

54. Interval of Decrease
Interval of Increase

55. Interval of Decrease Interval of Increase (-18,-10)∪(12,14)∪(17,20)
(-∞,-18)∪(14,17)∪(20,∞)