x2 t07 07 other graphs (2011)

48
(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;

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Page 1: X2 T07 07 other graphs (2011)

(J) Other Graphse.g. (i) (2003)

The diagram shows the graph of y = f(x)

Draw separate sketches of the graphs of the following;

Page 2: X2 T07 07 other graphs (2011)

xf

yi 1

Page 3: X2 T07 07 other graphs (2011)

xf

yi 1

1

-1

Page 4: X2 T07 07 other graphs (2011)

xf

yi 1

1

-1

Page 5: X2 T07 07 other graphs (2011)

xf

yi 1

1

-1

Page 6: X2 T07 07 other graphs (2011)

xf

yi 1

1

-1

21

Page 7: X2 T07 07 other graphs (2011)

xf

yi 1

1

-1

21

Page 8: X2 T07 07 other graphs (2011)

xfxfyii

1

-1

Page 9: X2 T07 07 other graphs (2011)

xfxfyii

1

-1

Page 10: X2 T07 07 other graphs (2011)

xfxfyii

1

-1

4

Page 11: X2 T07 07 other graphs (2011)

xfxfyii

1

-1

4

Page 12: X2 T07 07 other graphs (2011)

xfxfyii

1

-1

4

Page 13: X2 T07 07 other graphs (2011)

2xfyiii

1

-1

Page 14: X2 T07 07 other graphs (2011)

2xfyiii

1

-1

4

Page 15: X2 T07 07 other graphs (2011)

2xfyiii

1

-1

4

Page 16: X2 T07 07 other graphs (2011)

2xfyiii

1

-1

4

Page 17: X2 T07 07 other graphs (2011)

xfeyiv

1

-1

Page 18: X2 T07 07 other graphs (2011)

xfeyiv

1

-1

xfexfy

Page 19: X2 T07 07 other graphs (2011)

xfeyiv

1

-1

xfexfy i.e. stationary points remain

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xfeyiv

1

-1

xfexfy i.e. stationary points remain

2e

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xfeyiv

1

-1

xfexfy i.e. stationary points remain

2e

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xfeyiv

1

-1

xfexfy i.e. stationary points remain

2e

Page 23: X2 T07 07 other graphs (2011)

xfeyiv

1

-1

xfexfy i.e. stationary points remain

2e

Page 24: X2 T07 07 other graphs (2011)

xfeyiv

1

-1

xfexfy i.e. stationary points remain

2e

Page 25: X2 T07 07 other graphs (2011)

e.g. (ii) (2002)The diagram shows the graph of y = f(x)

Draw separate sketches of the graphs of the following;

Page 26: X2 T07 07 other graphs (2011)

xf

yi 1

Page 27: X2 T07 07 other graphs (2011)

xf

yi 1

Page 28: X2 T07 07 other graphs (2011)

xf

yi 1

Page 29: X2 T07 07 other graphs (2011)

xf

yi 1

Page 30: X2 T07 07 other graphs (2011)

xf

yi 1

Page 31: X2 T07 07 other graphs (2011)

xf

yi 1

Page 32: X2 T07 07 other graphs (2011)

xf

yi 1

Page 33: X2 T07 07 other graphs (2011)

xf

yi 1

Page 34: X2 T07 07 other graphs (2011)

xfyii 2

Page 35: X2 T07 07 other graphs (2011)

xfyii 2

Page 36: X2 T07 07 other graphs (2011)

xfyii 2

Page 37: X2 T07 07 other graphs (2011)

xfyii 2

Page 38: X2 T07 07 other graphs (2011)

xfyii 2

Page 39: X2 T07 07 other graphs (2011)

xfyiii

Page 40: X2 T07 07 other graphs (2011)

xfyiii

Page 41: X2 T07 07 other graphs (2011)

xfyiii

Page 42: X2 T07 07 other graphs (2011)

xfyiii

Page 43: X2 T07 07 other graphs (2011)

xfyiii

Page 44: X2 T07 07 other graphs (2011)

xfyiv log

Page 45: X2 T07 07 other graphs (2011)

xfyiv log

Page 46: X2 T07 07 other graphs (2011)

xfyiv log

Page 47: X2 T07 07 other graphs (2011)

xfyiv log

Page 48: X2 T07 07 other graphs (2011)

Exercise 1A; 9, 10, 11a, 12

Exercise 1B; 2bd, 9egh, 11ace, 13af, 14abf, 30, 32e, 34