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(I)Graphs of the Form  xfy 
    0ifdefinedonlyis  xfxf
   
noticing;and
drawingfirstbysketchedbecanofgraphThe xfyxfy 
 xfy 
y
x
1
-1
(I)Graphs of the Form  xfy 
    0ifdefinedonlyis  xfxf
   
noticing;and
drawingfirstbysketchedbecanofgraphThe xfyxfy 
  domainin theallfor0 xxf 
            1ifand1if  xfxfxfxfxfxf
 xfy 
y
x
1
-1
(I)Graphs of the Form  xfy 
    0ifdefinedonlyis  xfxf
   
noticing;and
drawingfirstbysketchedbecanofgraphThe xfyxfy 
  domainin theallfor0 xxf 
            1ifand1if  xfxfxfxfxfxf
 
 
implies;
xf
xf
dx
dy 

pointsstationarybestillmustpointsstationary
  0wherepointscriticalarethere  xf
 xfy 
y
x
1
-1
 xfy 
 xfy 
y
x
1
-1
 xfy 
y
x
1
-1
 xfy 2

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X2 t07 06 roots of functions (2013)

  • 1. (I)Graphs of the Form  xfy      0ifdefinedonlyis  xfxf     noticing;and drawingfirstbysketchedbecanofgraphThe xfyxfy 
  • 3. (I)Graphs of the Form  xfy      0ifdefinedonlyis  xfxf     noticing;and drawingfirstbysketchedbecanofgraphThe xfyxfy    domainin theallfor0 xxf              1ifand1if  xfxfxfxfxfxf
  • 5. (I)Graphs of the Form  xfy      0ifdefinedonlyis  xfxf     noticing;and drawingfirstbysketchedbecanofgraphThe xfyxfy    domainin theallfor0 xxf              1ifand1if  xfxfxfxfxfxf     implies; xf xf dx dy   pointsstationarybestillmustpointsstationary   0wherepointscriticalarethere  xf
  • 6.