x2 t07 06 roots of functions (2011)

18

Click here to load reader

Upload: nigel-simmons

Post on 18-May-2015

585 views

Category:

Education


1 download

TRANSCRIPT

Page 1: X2 T07 06 roots of functions (2011)

(I)Graphs of the Form xfy

noticing; and drawingfirst by sketched becan ofgraph The xfyxfy

Page 2: X2 T07 06 roots of functions (2011)

(I)Graphs of the Form xfy

0 if definedonly is xfxf

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy

Page 3: X2 T07 06 roots of functions (2011)

xfy y

x

1

-1

Page 4: X2 T07 06 roots of functions (2011)

xfy y

x

1

-1

Page 5: X2 T07 06 roots of functions (2011)

(I)Graphs of the Form xfy

0 if definedonly is xfxf

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy

domain in the allfor 0 xxf

Page 6: X2 T07 06 roots of functions (2011)

(I)Graphs of the Form xfy

0 if definedonly is xfxf

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy

domain in the allfor 0 xxf

1 if and 1 if xfxfxfxfxfxf

Page 7: X2 T07 06 roots of functions (2011)

xfy y

x

1

-1

Page 8: X2 T07 06 roots of functions (2011)

xfy y

x

1

-1

Page 9: X2 T07 06 roots of functions (2011)

xfy y

x

1

-1

Page 10: X2 T07 06 roots of functions (2011)

(I)Graphs of the Form xfy

0 if definedonly is xfxf

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy

domain in the allfor 0 xxf

1 if and 1 if xfxfxfxfxfxf

implies; xfxf

dxdy

Page 11: X2 T07 06 roots of functions (2011)

(I)Graphs of the Form xfy

0 if definedonly is xfxf

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy

domain in the allfor 0 xxf

1 if and 1 if xfxfxfxfxfxf

implies; xfxf

dxdy

pointsstationarybestillmust pointsstationary

Page 12: X2 T07 06 roots of functions (2011)

(I)Graphs of the Form xfy

0 if definedonly is xfxf

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy

domain in the allfor 0 xxf

1 if and 1 if xfxfxfxfxfxf

implies; xfxf

dxdy

pointsstationarybestillmust pointsstationary

0wherepointscritical are there xf

Page 13: X2 T07 06 roots of functions (2011)

xfy y

x

1

-1

xfy

Page 14: X2 T07 06 roots of functions (2011)

xfy y

x

1

-1

xfy

Page 15: X2 T07 06 roots of functions (2011)

xfy y

x

1

-1

xfy

Page 16: X2 T07 06 roots of functions (2011)

y

x

1

-1

xfy 2

Page 17: X2 T07 06 roots of functions (2011)

y

x

1

-1

xfy 2

Page 18: X2 T07 06 roots of functions (2011)

y

x

1

-1

xfy 2