x2 t07 05 powers of functions (2011)

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(H)Graphs of the Form n x f y where n>1 and an integer noticing; and drawing first by sketched be can of graph The x f y x f y n

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(H)Graphs of the Form nxfy where n>1 and an integer

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy n

(H)Graphs of the Form nxfy where n>1 and an integer

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy n

pointsstationarybestillmust points stationary all

y

x

1

-1

xfy 2xfy

y

x

1

-1

xfy 2xfy

(H)Graphs of the Form nxfy where n>1 and an integer

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy n

pointsstationarybestillmust points stationary all pointsstationaryalsoare axisthecutscurve the wherepoints all x

y

x

1

-1

xfy 2xfy

y

x

1

-1

xfy 2xfy

y

x

1

-1

xfy 2xfy

(H)Graphs of the Form nxfy where n>1 and an integer

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy n

pointsstationarybestillmust points stationary all

pointsstationaryalsoare axisthecutscurve the wherepoints all x

xfxfxf n then 1 if

(H)Graphs of the Form nxfy where n>1 and an integer

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy n

pointsstationarybestillmust points stationary all

pointsstationaryalsoare axisthecutscurve the wherepoints all x

xfxfxf n then 1 if

xfxfxf n then 1 if

y

x

1

-1

xfy 2xfy

y

x

1

-1

xfy 2xfy

y

x

1

-1

xfy 2xfy

y

x

1

-1

xfy 2xfy

(H)Graphs of the Form nxfy where n>1 and an integer

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy n

pointsstationarybestillmust points stationary all

pointsstationaryalsoare axisthecutscurve the wherepoints all x

xfxfxf n then 1 if

xfxfxf n then 1 if

0even then is if nxfn

(H)Graphs of the Form nxfy where n>1 and an integer

noticing; and

drawingfirst by sketched becan ofgraph The xfyxfy n

pointsstationarybestillmust points stationary all

pointsstationaryalsoare axisthecutscurve the wherepoints all x

xfxfxf n then 1 if

xfxfxf n then 1 if

0even then is if nxfn

xxfxfn n of egiven valuany for ofsign same theis then odd is if

y

x

1

-1

xfy 3xfy

y

x

1

-1

xfy 3xfy

y

x

1

-1

xfy 3xfy

y

x

1

-1

xfy 3xfy

y

x

1

-1

xfy 3xfy

y

x

1

-1

xfy 3xfy

y

x

1

-1

xfy 3xfy

y

x

1

-1

xfy 3xfy