x2 t07 06 roots of functions (2011)
TRANSCRIPT
(I)Graphs of the Form xfy
noticing; and drawingfirst by sketched becan ofgraph The xfyxfy
(I)Graphs of the Form xfy
0 if definedonly is xfxf
noticing; and
drawingfirst by sketched becan ofgraph The xfyxfy
xfy y
x
1
-1
xfy y
x
1
-1
(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
(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
xfy y
x
1
-1
xfy y
x
1
-1
xfy y
x
1
-1
(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
(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
(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
xfy y
x
1
-1
xfy
xfy y
x
1
-1
xfy
xfy y
x
1
-1
xfy
y
x
1
-1
xfy 2
y
x
1
-1
xfy 2
y
x
1
-1
xfy 2