1. Hi, my name is RaD My radar detects Range and Domain Watch my radar (yellow line) passing through the graph in the next slide

2. The DOMAIN is the set of all possible x values for that function

3. The DOMAIN is the set of all possible x values for that function What values can be substituted for x? Example

4. The RANGE is the set of all possible y values for that function What values are possible for y ? Example

5. y x Graphically

6. y x Domain is all x

7. y x Travelling along the y axis My radar first detects the graph at y=0

8. y x Range is y  0

9. The DOMAIN is the set of all possible x values for that function What values can be substituted for x? Example

10. The RANGE is the set of all possible y values for that function What values are possible for y ? Example

11. y x This curve approaches the y axis This curve approaches the x axis Asymptote=the line the curve approaches but never touches

12. y x Domain is all x, x  0 Range is all y, y  0

13. -2 2 y x Domain: -2  x  2 Range: -2  y  0 This curve is a semicircle

14. The Parabola

15. y interceptParabola y x x intercepts or roots Range?

16. Parabola y x Vertex

17. Parabola Positive co-efficient = concave up Constant = y intercept

18. y x 21

20. y x 37 The x ordinate of the vertex is halfway between the roots (3+7)/2=5 5 Now find the y ordinate

22. y x 21 375 -4 Vertex( 5, - 4 )

23. y x 21 375 -4 Rangey  - 4 Domainall x

24. y x 21 375

25. y x 375 -4 Vertex( 5, - 4 )

26. This is a nine slide show. Click on completion

27. Parabola y x - 5 - 2 1 8 Domain all x Range y  - 5

28. Parabola y x - 5 - 2 1 8 Domain all x Range y  - 2

29. Parabola y x - 5 - 2 1 8 Domain all x Range y  0

30. Parabola y x - 5 - 2 1 8 Domain all x Range y  1

31. Parabola y x - 5 - 2 1 8 Domain all x Range y  8

32. Parabola y x - 6 - 2 49 Domain all x Range y  0

33. Parabola y x - 6 - 2 49 Domain all x Range y  0

34. Parabola y x - 6 - 2 49 Domain all x Range y  0

35. Parabola y x - 6 - 2 49 Domain all x Range y  0

36. Parabola y x - 6 - 2 49 Domain all x Range y  0

37. The Line y x - 2 Domain all x Range y= - 2

38. The Line y x 0 Domain all x Range y= 0

39. The Line y x 5 Domain all x Range y= 5

40. The Line y x Find intercepts

43. The Line y x 8 4 Domain all x Range all y

44. Stay tuned for more of my journeys

48. Domain Range Domain Range Domain Range