X2 T04 07 curve sketching - other graphs

1. (J) Other Graphs e.g. (i) (2003) The diagram shows the graph of y = f(x) Draw separate sketches of the graphs of the following;

2. 1 i  y  f x

3. 1 i  y  f x 1 -1

4. 1 i  y  f x 1 -1

5. 1 i  y  f x 1 -1

6. 1 i  y  f x 1 1 2 -1

7. 1 i  y  f x 1 1 2 -1

8. ii  y  f  x   f  x  1 -1

9. ii  y  f  x   f  x  1 -1

10. ii  y  f  x   f  x  4 1 -1

11. ii  y  f  x   f  x  4 1 -1

12. ii  y  f  x   f  x  4 1 -1

13. iii  y   f  x 2 1 -1

14. iii  y   f  x 2 4 1 -1

15. iii  y   f  x 2 4 1 -1

16. iii  y   f  x 2 4 1 -1

17. iv  y  e f  x  1 -1

18. iv  y  e f  x  y  f  x e f  x  1 -1

19. iv  y  e f  x  y  f  x e f  x  i.e. stationary points remain 1 -1

20. iv  y  e f  x  y  f  x e f  x  i.e. stationary points remain e2 1 -1

25. e.g. (ii) (2002) The diagram shows the graph of y = f(x) Draw separate sketches of the graphs of the following;

26. 1 i  y  f x

27. 1 i  y  f x

28. 1 i  y  f x

29. 1 i  y  f x

30. 1 i  y  f x

31. 1 i  y  f x

32. 1 i  y  f x

33. 1 i  y  f x

34. ii  y 2  f  x 

35. ii  y 2  f  x 

36. ii  y 2  f  x 

37. ii  y 2  f  x 

38. ii  y 2  f  x 

39. iii  y  f  x 

40. iii  y  f  x 

41. iii  y  f  x 

42. iii  y  f  x 

43. iii  y  f  x 

44. iv  y  log f  x 

45. iv  y  log f  x 

46. iv  y  log f  x 

47. iv  y  log f  x 

48. Exercise 1A; 9, 10, 11a, 12 Exercise 1B; 2bd, 9egh, 11ace, 13af, 14abf, 30, 32e, 34

X2 T04 07 curve sketching - other graphs

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