GSP4aQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$V LContents` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0554/Mar 2 20040#HArial$   '''$' $' @$' @ $'E$' $' $'$'$'$' $' $' %'&'8'8'8'9':'003`^3J>3Ta$"nnalnh    ,nQ\aAPiecewise Functions    ,nQ\aATangent to Function    (nQ\aAFunction Sectorl    "nQ\aA Less ThanT    }6nQ\aAf(x) over a determined domainddP4HF^3^ehhTjTR>q`^zKz     :nQ\aA Translate By Coordinate DistanceMdbNxisaQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$"LTranslate By Coordinate Distance` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0554/Mar 2 20040#HArial Geneva      '''$' $' @$' @ $'E$' $' $'$'$'$' $' $' %'&'8'8'8'9':'<:&wo A">me " B) s@`h@4(  4RbX<@: & @  nQ\aAx6(  6RbX<@: & @  nQ\aAy='      }_*nQ\aALink to Contentsd_um Pq@d@TTZA<0>>>Z O^ <0>T1's >0 ?YY@?? nQ\aADelta Xl O^ <0>T1's >0 ?YY@?? nQ\aADelta Yl42A3    <0>_:>B3    <0>_:>00  0 3  b  <0> B0 \ pv HBv 1 ``0 3  b  <0> B0 \ pv HBv 1 ``$>>>>ina$Z6E8 P't-#HQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$LPiecewiseFunctions` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0554/Mar 2 20040#HArial Geneva     '''$' $' @$' @ $'E$' $' $'$'$'$' $' $' %'&'8'8'8'9':' 9^ :<0> >0nQ\aAg:q,,LL"9>>>>>"%P$$WnW1i44g >>g4y42[>>>[s 9b ;|<0> B0  nQ\aAf;| D`m@`f@) `s@`h@4(  4RbX<@: & @   nQ\aAx6(  6RbX<@: & @   nQ\aAy='   A3   3<0>x (xnQ\aAx[D]G 9n  <0> N0  ` nQ\aAqG 9 ,<0> b0p p p  p nQ\aAhH:   {I%{I%@    }_*nQ\aALink to Contentsd_um0.2>>>2<<)<pp]<-><->>>) -<->><->>>t-%M-#HQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ LLess Than` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0554/Mar 2 20040#HArial Charcoal    '''$' $' @$' @ $'E$' $' $'$'$'$' $' $' %'&'8'8'8'9':'$" itz B.>>> 6@ Ob 3}10xs  >0?YY@??nQ\aAA3}e Ob }10xs  >0?YY@??nQ\aAB}42kk}0 3 b 3<0>B> B0``nQ\aAm[2]$"ts^\\H A.>0 3b 1<0>B> B0 ` nQ\aAm[3]PP= A. >0 3 f <0>B> F0 ` 0nQ\aAD = sgn(1+(sgn((B-A))))pp]>Dxvblts    }i*nQ\aALink to Contents-iy0 3 ^ <0>xTll >0 \ pv HBv 1 `nQ\aAD0 3r <0>24wi R0  \ pv HBv 1 `` ` `DB/+,TQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy. $5Lf(x) over given domain` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0554/Mar 2 20040#HArial Geneva$  '''$'$'$'$'$'$'$'$'$'$' $' $' %'&'8'8'8'9':' 9b Fk<0> B0 i0 4  fFk} Op F<0> P0 ?YY@??  nQ\aAx[A]F Or F<0> R0 ?YY@??  nQ\aAx[B]F0 3 b <0> B0 i0 4 p` )lH@`._l@4( 4bX,B@: &  nQ\aAx6( 6bX<@: &  nQ\aAy='   E8 0 3 b 2<0> B0 i0 4 p` E8     y:MZ?PA3   J<0>ie:0 3b z<0> B0 i0 4 ` 0 3 b b<0> B0 i0 4 p` E8 #*  ?}<0><-><->><0><-><->>>},,99    }Jl*nQ\aALink to Contents-Jlz-# TQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy. $LTangent to Function` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0554/Mar 2 20040#HArial Geneva       '''$'$' @$' @ $'E$' $' $'$'$'$' $' $' %'&'8'8'8'9':' 9f ><0> F0  nQ\aAf>,, >st. N) 0|@@j@4(  4RbX<@: & @  nQ\aAx6(  6RbX<@: & @  nQ\aAy='  H:   {I%{I%@N Kn ><0> N0     nQ\aAf'A@ d@A3   ><0>nQ\aAx[A]B3   ><0>nQ\aAy[A]0 3 b ><0> B0` nQ\aAx[A]+10 3 f @<0> F0`p` &nQ\aA y[A]+f'(x[A])@>$q*$q`^%J%(p>(`^"K"0E8  ?   pn<[>>><$x    }1*nQ\aALink to Contents-1 ?-# VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy. $LFunction Sector` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0554/Mar 2 20040#HArial Geneva    '''$' $' @$' @ $'E$' $' $'$'$'$' $' $' %'&'8'8'8'9':' 9f z<0>40a  F0  nQ\aAfzU(( y>%Z) x@s@4(  4RbX<@: & @  nQ\aAx6(  6RbX<@: & @  nQ\aAy='  H:   {I%{I%@   :fÇ?   : 5C6? @     zz?nQ\aABA3   !<0>nQ\aAx[B]0 3 b !<0>40a  B0p` nQ\aAf(x[B])E8   @ #+(    ?d   :ya6Q?    }!v*nQ\aALink to Contents-!v-# VQThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy. $HLCredits` a b c d e f g h i j k l m n o p q _ ,#GSP4_M_0554/Mar 2 20040#H Geneva '''$'mtr$'nme$' fj$'ms$'$'$'$'$'$' $' $' %'&'8'8'8'9':'-><0><0>> a->-~$$D>oDuDB>.> k>% h  h ,Lhttp://www.keypress.com/sketchpad/general_resources/advanced_sketch_gallery/0nQ\aAAdvanced Sketch Gallery, <  < {!http://www.keypress.com/sketchpad2nQ\aASketchpad Resource Center{({A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LLess ThanArial   !^  <0>xA t >0 z 1 z 1 Pz nQ\aAB  !^  <0>= 10 >0 z 1 z 1 Pz nQ\aAA 0 ! b 3<0>:/ B0``0 !b 1<0>:/ B0 ` nQ\aAm[3]0 !f <0>:/ F0 ` nQ\aAm[2]0 !^ <0>xA t >0 \ pv HBv 1 `*nQ\aALessThanOrEqual?e0 !r <0>:/ R0  \ pv HBv 1 `` ` ` nQ\aALessern /#Less Than Returns the lesser value of two given values, A or B, and a decision variable which is 1 if A is lesser or 0 if B is lesser. See "Advanced Analytic Tools" for more info.{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ "LTranslate By Coordinate DistanceArial    !^  <0>= 10 >0 z 1 z 1 Pz  nQ\aADelta Y  !^  <0> >0 z 1 z 1 Pz  nQ\aADelta X nQ\aAP'nQ\aAS[1]  isop@ A3   <0>T7e B3   <0>T7e 0 ! b  <0>T5 s B0 \ pv HBv 1 ``0 ! b  <0>T5 s B0 \ pv HBv 1 ``E8 nQ\aAA/#This tool, given a point P and two coordinate distances, constructs the image of P translated by these distances on the current coordinate system. See "Advanced Analytic Tools" for more info. {A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LTangent to Function Geneva$nQ\aAA 9^  <0> >0 HX> > pB Ȑ C > D@ @- nQ\aAf 'nQ\aAS[1]_SFMedoNtxeTH:   {I%{I%@N L ><0>T5 s p0 p  p   nQ\aAf']A3   ><0>nQ\aAm[1]B3   ><0>nQ\aAm[2]0 !b ><0>T5 s B0`0 !f @<0>T5 s F0`p` E8  nQ\aAA?   /#Constructs the tangent to function f's through the point A, which is assumed to be a point on function f's graph. See "Advanced Analytic Tools" for more information.t{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$LPiecewise Function Geneva$"nQ\aADecision 9^  <0> >0 HX> > pB Ȑ C > D@ @- nQ\aALefti  9^  <0>= 10 >0 HX> > pB Ȑ C > D@ @- nQ\aARight 'nQ\aAS[1]_SFMedoNtxeTA3   I<0>T7e nQ\aAm[1]G 9n I<0>T5 s N0  ` "nQ\aARightOfDG 9 G <0>T5 s b0p p p  p nQ\aAhH:   {I%{I%@/#Creates a function and function plot of the piecewise combination of two functions on either side of a "decision" point. See "Advanced Analytic Tools" for more info.t{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$Lf(x) over given domain Geneva$ !^  <0> >00 H"m0 m0 hq0 $( hr0 m0 $o0 (P ,nQ\aADomain End Value[2]  !^  <0>= 10 >00 H"m0 m0 hq0 $( hr0 m0 $o0 (P ,nQ\aADomain End Value[1]  9^  <0> >00 H"m0 m0 hq0 $( hr0 m0 $o0 (P nQ\aAf 'nQ\aAS[1]n_SFMedoNtxeT0 ! b <0>T5 s B0 i0 4 p` E8nQ\aAD0 ! b 2<0>T5 s B0 i0 4 p` E8nQ\aAC   nQ\aAAA3    J<0>0 !  b b<0>T5 s B0 i0 4 p` E8 nQ\aAB#*  ?nQ\aAL[1]n/#Plots the given function over the interval specified by the two domain end values. See "Advanced Analytic Tools" for more info.v{A tool in this document was created with a newer version of Sketchpad and cannot be read. The document will open as a copy.aA tool in this document was created with a newer version of Sketchpad and may not work correctly.$ LFunction Sector Geneva$ 9^  <0> >0 HX> > pB Ȑ C > D@ @- nQ\aAf 'nQ\aAS[1]_SFMedoNtxeTH:   {I%{I%@  nQ\aAC  nQ\aAD @   nQ\aAAA3   !<0>0 ! b !<0> B0p` E8  nQ\aAB @  #+(    ?dnQ\aAL[1] /#Constructs and shades an arbitrary sector of the given function. After using this tool, drag or split/merge the sector's endpoints to significant points on your function plot. See "Advanced Analytic Tools" for more information.