First Steps with Technology for Teaching and Learning Mathematics Seven Introductory Tutorials for the TI-Nspire™ with Touchpad Handheld !#"#!!$" #" '"#" !""%#! !" #''"# ! . ! 1"!! "'*!"'#!"! #" !"% ( $" !"&"'"" "!! !*%$ ( " '#!"!"#" !!"$*"$"! #'" "#" !"% #"! !"!' !!! """* "#" ! !"% " # (%"" !#!!$ * !""'#"%"#(" $ '"!" #"!#"%'! " !!/#"(!'#%#&"("#""! #%""#!#! !#!#"'* &'#%&""!"" !$ ""!" # ! "'""#" !*!%!'#" $!"'""#!'#" ( " $!&"#!+#" !""!,"""!* ""#" !'#%! !"" #"!"" !#" %"'# . ! *' !$ "")--#"*"*-#!* ' ) """ "%"". ! 1($5*3 . ! 1 #($5*3 • #" !""!(''(# " !"!$ !& !!!#"!* • "!""""! (" '(# (!""!"!( .% "* • #"!%!$( ("(" ! "% #" !" #"" '* • " "!$" !!"! '!' !* !"" $ 5336* "( # '5337* "(##!"5337* # ""(#5343* 5 05343&!!" #"!#"' ! ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,6 ",,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,7 • • • • • • • • &%$+!# $+!$+!!% $ $# $ /** #$ #%&%$ # #%! &%# ($#% '%# & &%$ #$ #%#% '%$ &%$ #%&$#% %)%$ &%& #,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,23 • • • • • • • • $&% $ %#* &% )!#$$ $ !#' &$)!#$$ $#$&%$ !!# )%-$.)%-#% $.'&% $ !%$&$ &%$%%$ &$'#$ #(%%%$%$%#&% $ $,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,28 • • • • • &#! $$ %!!% * &%$(%$!%$#$ !%$ #% %$& $%#%' %$ #%&$% $&$%# %(# %,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,35 • • • • • • • • • • ( ##+%#*+&% $% #* %#+%+%&% $ ##$ %%%)$ # #!$ #! %$ #%$ $%*$#! $ #$ ##!$%#&% $&* $#$ "& %% /3121)$$%#&%$&% * 4 !# %++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++43 • • • • • • • • #!(!%&" "*"#"!(" "#!$#!" !&#"#" "#!$#"" #!"!#" "$!#""#!"%!" ##!$#"&#!"!#" &++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++47 • • • • • • • #!##!$" "#"$#" ")" $$"%!," #$!#!#!".#!(# $##" ! $(!# '++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++54 !! • • • • • • • • !#-#&-%!"##"##"##.##"#"# "'#"#!#"#" "#!#!!#" $#"("$!("##"#" $(##"#!#"## $##(##!-!!"""## !#""##!#" !! $(# ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++61 " 5 /3121'""#!$#"$#( ! !" #! # ! ! ! % !,0 %& ! ! !,! &# ("!! !&# " ! ! ( ! ! %!! ," ! %# # % %( ! ,"&%!! !! & !% $ ! ,:6,:7! &%!% ! %' )%! %#%(# % ! # (c # ( Nothing on the screen? You probably need to fit the batteries. See Getting Started with the TI-Nspire Handheld page 5. ) #%! # ) &! ! # # (c%*+# !" ) !&% !%/( ! ! ! & #%$ %!! ! & !%! ( "" " !! %&/& %g(% % "! # !" % " ! %( $q&ph( %! ! # % % ! ! %!! ! ($&%!% !/C/V() !!% ! !"! &/Z&# " %/d-ª.(- !&5,8! . 9 /5343$ ! ! % '#!%"#" '#&"" !%"%!" '#+ "!" " '#"#"! "%'*#" ",! ! ""! !""* !!c)"#"")%"'""" ""'*#!#!! ! " "!*$"""$ #!!" #!" !# "'*! $!!""#-".)! $"$!'# !!"#)%) " " %!"$"!" #* !"!"'# !!"x!# !'"""#*%$ +"!"'"!'"( ! %" ",! +!! ! !"#" #" *#" %!#'# !"!"!"'%'!"!,! !! *"#" '#$"!""#!,,% , !! )! !" %"$ *#"#!"#"%"%'#% "% ""&")#"!)#"!"* !"!" #" '%'!% %",! !! *#%'!$"% %"#" '##! ""!" % !)#")#""&""* "!#" " "#" !""%"#"'#$!"! ""#!!' ""!!'#*! !"#" " "!!!'%"#"!" ! %" * #$$ " " !""* !#!#" !""!!"'"!""",! !# % #" ""!*%",! '# !"#") !" " %)"!"* #"!" If you accidentally press c and would like to return to the document you are working on without inserting a new page, select option 4: Current. You can do this by pressing 4on the keypad /2010&!!" #"!#"' 3 "# $ " &$%##$ $ $(* &#* &$%(%% ##* &%"&&% ##( "&#!%0$!#&$%&# %.$#%!$$ # % $$&%# (0(*&% $%%% # %% %,&%# %( #% !& &%. $$% #%!!#$$». $#%$ %&% #!2&$%$*$%0 ($%%$3,(&$% ##* &%* &# &% $.#$$»$(!$%(% &% #%#!$#%!!$. $% #%!$!*!#$$d. &$% !&%#, &%$$% # %0 $!#1%$# #*!%* &% 89. $(% &%$#!#0 * &# * &% &$ !% 8 % $#- ! Either use the touchpad to move the selector down to the 2: My Docs… option then press x to select it. Or use the touchpad to move the cursor over option 2 and x nd Or just press 2 key to select option the 2 option. &$ &$$#% &% # ($#%($ %% $ ( #. &%$# #+% #$$%* ( & !&%#.(0$!# $ &' #- You can very often use either x or · as alternative key presses '%&#$ #% % #%%. !#$$x #· #¢ %% &!% !% #. $% # * &#* & (!# * &%%%/66%% %#%/.$¤% %·% !% &%. 9 48676)$$%#&%$&% * e is often used to move to, and highlight different parts of the screen !"!%%!#$%!%!# " ! ! %)%!# "%!"!#e ¢ " ) ·) ! %! % # ) ' # ! ! % & ! # ! ! '## !%! % % ! *! ) % ! !! % #% " ! ! ) $' / ¢ # %! $ ! )%' /¡ !%! "! ) /£ # %! # %! " !%% ! ! ) %%" ( Name of Document Total number of pages in the problem Number or Name of the Problem *! % ! % ! ) ! # #'# /0' "%) ### !%!# ! )%! " .'%'¡ #!) ·/¤ %! "# ! % ) +.,-, $ ! ! % 0 " $ % " (& % • • • • # • # • &" " # & # # & If the ‘Getting Started’ document is present on your handheld, work through it now as far as page 2.5. This will allow you to revise what has been covered so far in this tutorial Pressing d will always close down a menu or dialog box. #& ! &b# " c~& & "# &!# #' ! # # & # ' "" & ""$ "d& b& b " &!# #" & +* ),*+*!" $!! "$ $~$& !$ $¢¢ & $% $ $ !& # " '& • % %%%% • /$$ • • • "! • ! • ed • $b # • (+)*)# $ ** ( %" ' $ %" " ' "!% " $ c ' " & 1·x ' $$# % % !' $" #" % ! " ' NB multiplication and divison. What do you expect the result of this calculation to be? $$ #"·) "" !' $$$#%·% . /.' ,- *-+,+# $ "! &"#&! ( + " $ 44 # $ ( £ "$ ! # ($ ·( ! # $ $ "#( & # ! &$ · ! $( " $ # $ $ · % $$ Notice how entering an operation at the beginning of an expression (the power operation in this example) causes the automatic entry of Ans, standing for the previous answer. 1· lv1¢+1 ···) $ ! $ ' !( b15( "$ $ $ ! · " /· $ " ( $ · $ ,$- # ( ! # , - # , -( $ $ " ( "$ #$ $& (($0*30(/*3( .1/0/ # $ 02 % *%" %! $)$' ! %!"! % /q! l #) $ $ " %! "!) %# $$!! ) $' % 62564) "! $ 2%! e¢)$ !¢ %! ") $ " % t ) !%! " # ! ·) # " T ! " ! "+ %!! % ,# ! $-) %! ! ! 1/!!)!# ! % ! N " ) e! ! " $ $ ) # ! ! 1/ ! !) % ! ! ,%&-( ££·¡¡.3· !! ' ) 2 Integral of x +2x-3 between 1 and 5 b4 2 Derivative of x +2x3 at x=5 03 .1/0/$ ! ! % " " c521~721 21 With dialog boxes it is important to remember that you need to press e to move through the various options. ! # ¤ # "! e# ! # · # # ! #! # In Approximate mode all results are shown as decimals rather than fractions $'%&% &( " $ ! % % % !( ! "$ !( /h*+% /t*Ï+ $$%"$ !$ 'kD( $ ' • $ ! $/)& • $º( $! "2 "+'" %! ! ( What you type is not necessarily 2 what you get: above r and 2r were actually typed as. PIrRq 2PIrR ( **#++ ! $ ) " ! $( " 1 $ ( *#+*#+ $ "( /3 ,0./.# $ b!" % " &/, &/- " "!% *)) "&% " b542 " $"% " b633% *)) *+ % Notice that the expression d1+d2 produces a list of 100 sums of the corresponding values from d1 and d2 i.e 100 totals when 2 dice are thrown &" " $% # " " % '+)*) ! " *. #$ %! h $ " " ! $ ! " ' $ " $ ' $ ! % % - . ! %!" "" ~15%$& gFIRSTgSTEPS ·' %! • $ #"$! • ! # • ! #()#() • " • • • ! -/ *.,-, # $ " $ % " $ # • • • % % $ +$ c !$ /~&¿'6$ $ "g$ (+)*) *, b # ! # !" g" ! # ! ! # ~52 ! # ! # ! ! # Important: to move from one part of the screen to another you need to press: /e ! # /e b ! # "! # '% $'%&% ! $ * "! +) ! "( • # 1 • "# • !2 " $ !# ) %! # $ " b) #! ! ) %! % ! ) ' # # %! % ! ! " # # # ! ' # %) # % ( /~6) $ # # ! ! ) This is a MathBox The MathBox attributes (b51+ allows you to show just the input or output if preferred % $*b31 /M+ ! $ % %!#!" *)) $ +)# % ! ! "!'# ! ! ! %! ) "%!"! !' %! 0 $ ! ) ,/-.-$ ! ! % /. "# $ " There are a number of different question types which can be used ! ! " b2 " "" && #&$%$ • • #! • • • " • $! %(&'&"# () % % "!%$ * ( ! ! ! $! ( )! $ "! 5( % ! %! ! 3( c ## (!! #& # $% ! ## % ( ! %% b2 # ! 2 % #( "# % $ # (! 5# $ . % ( ! #! " #%& % " "#(b21 ! #( 0(2$2+3 ,0^2Xq-3- #( ! ) #% % #( ! 2%! ! ,$-'7$64( e ! % ,$- ,G(X)- # * ( % #( e # ! % & e % " ( !# * ·(%! ! ++ ! %( d%!" ## ! # ( 24 /2010$ ! ! % ! !"!#!$"! $'!# %!& ! !' &"!! $!" !!&"!&!"!) &"#!" #!! !$'!! &( • !" • !"&! • !#" ! '))% '!) ! !$ ! #&"!! ! e & ! ! !" ! #" # ! ) # ! " ! ! ! $) ! !! ! * ,÷- $ # ! 1,%- !& x& /x ) !!!! ! ",{- ! !! &" # " "& ! ) !"!! * ! "! ! $ !) & x d ! ! ) ! ! ! !$"!" ! !& ! !! $ " "!& "! 3) $#' ! ! ! %!& ! ! ! ' $!"!' ! &) If you do end up moving the wrong item, remember that /Zor /d can be used to undo the last change. ! ! ! ! $ ) # ! ! ! %*% " ! $ ! %54) !!!&" !*+ &" "$!%,ø-&" ! ! % ! ' ! " ! ! ! ) ! ! # !& ! ! ! ! $! ! !) ! !! ! !%*&*% ) ,x- d /d ! "! !"!!"! !% ) $!!! ! $ ! ! &' g' $ &" # ! !) !!%*% "!! &* % ") .2010% !"! "!& 23 ! $%$"#$"!##! #'")$##!!$!#!&(" ##"* !"" b4($&"#" & "$+$* # 2 &" ($ # #! $! %$" # #! # '#!" # '") & # #") " # +74 +75) !% $## !"* #"&!##%!($"$&( # "##'")$#&#$# !" #* % # !!& $!"! # #( !# # "! ! # %# " * ! !# !" , ù- # ## ($ ! ! # & &!!*&($$"#$ # ! "##'""($&"* "# # '" $" # ,$#- # ! # & $ ! #$* $ "($&"#3,'-9'87*"&" ,'- # $#! # 2*2)($##&&(" #" * • # &! !) % # #! # # ) 3,'-9,'- ) "# ! #) $+ # # ' " $ * # # !""·#$ ##* • !"" ee· # # # $#"#!(!"!$ ##3* $#"(#"!&(")( " (##!# !"" ·* To hide a function’s graph click on the Hide/Show button ú 36 .3121'""#!$#"$#( b51 ( Notice the Trace icon in the top left corner of the work area. This is typical of many of the options from the menus. ¡ ¢ " (# " ! $ ' b53 $ -(0 .( ! #& $ $ ·( £ ¤ ! ( ! b52( #& % $( The current value of the trace is displayed in the bottom corner $ d( " ( "$ "( • b73 *+( ( • ! .*#+( "x ( • ! /*#+( x( ! $ ( # $ $ ""$)#( "d( ,/-.-# $ /1 & ""% ! $ b16% ""!" " '' " !% # ! ! % # " %b25% # " % & " b61 % " x#" " (x) (x)% Lower Bound Upper Bound " # ! "b6% Use the Analyse Graph menu to identify key features of a graph ./ *.,-,!" $"&!!##)&($$#+" $##!"*%#% #$!,"!"##($"#!%!")**$($##! "#$#+" $#*"#!%")""##$!""$"#" #!"##!!#""$#* !"#%#"#!#!)"&"* ## " ! "# "& # # #!!#&!!-!"" d#! " (# "(. # % # #!##!#$#* "$"($&"# #& " "& !) &! '#( ($ ! # "!* % # ($&"%!##!* ! # # ! # "$"# !") & # "$"#!"#&!"#" # !* & ($ &$ # $" !#(!""x * " # $ # % # ! !$* # # &( ## # $#+" $# $#"#* !""d#!(##!#!"!#* Try manipulating a quadratic graph, and explore the possible transformations available ( # # $" ## % #!$ #" #$#!) !#$! ' #") ! #) & $" $#! 4* $#!" 5 6 ($ & " &#"#"!"#"#&"#"%$"#!!$#" #!"#!(#* !" ! &!$ &( #! # %$ "##" ! ! #! "#!$#* #" ' & & $" "! # '! # #!"!# $#* #") "#!# ( !# & !" ( !"" c # "#* !"##!#$#)#"!# "!(!""b1A# %!# (!""D·* /3121'""#!$#"$#( 37 # $ eF3(X-D)·% $ & " ! ! & $ % ! # & $ % $&' $ " & %" $ c & b351 ' & % %·& ""$ b41#'# '--,$'#'- /-&"$ # $ b51 $$ $ /T & # ! & # $ (1,1) " " ! $ & $! !$ & .+ *-+,+# $ • $#!#!# % • ## • • !$!#" • • • ! • ! • &)'(' ! *( ! " " $ %&% # %# &$ %#%' %#* .$!# &$ &! % % $ %&#$ %#!$ %#*!!% $%%(# '# &% #7- &# $%! * $%! %# & %# $%#&% ( &$%#%$ % $! !% %% % #$ %#$ (% ) $ $%% % # "&- $ * & ( # %# & % $%#&% * &( %* %%&#$%% %$ % $% ! (#& %%#%' ! %$ .$!#- $$#* ! * &# #$%%!$8 &% &$% c*%$%% #% ( %#*!- & (% #!!%$! $$% '#% % %#* ! % #! ! * $% b21- ('# # ( ' % ! ( $%#% * #( $% % #!#$% % $ %# % ,!#$$ b7% $% !% $' # #( %$ 1 $- %$ ' %( $%% ! %$+$#/% #*0%+ ( #*$ ' &$% - $ !% " - '%&#$ #% $&%! $% #! % - /x0 % ) % ! % % gB% '% - ' % &#$ # % (# * & (% % %# % $% % - # % ! % % % $ (*- % % ! % ## $ $% $ ( * & %% * & & #( %#$%* &($-#$$ d% # ' % ' %% !#% - 65 the relevant icon Notice that as usual appears in the top left corner of the screen. 25343)$$%#&%$&% * !" $ &" !" ! " % " * ! ! ! '# " !! bA* !"#* ##!"!'"%"!)""%" !" (""#!"!! "#."#"!!" /*$"# ! ""!"-'#%!"!%'# " " !"*.x/"!""!"($ %'( "" % '%""!!"*( +" "" !!d('#"%"" " * " "! " " ! % " $ " # ! # " ! " ! % "! * # !# ! " # ! .÷/ " ( "( "!" ( " " & " * "! * %$ (" "!" *"%$ !" $ #!# !!* &('# #""'.x/"!"" " !!." $"* !"( " ! " * " '# % ! "! " " %"#" $" "!(!"" "" '# $ ' % ! " ! " " #!* !! b72 " !" " ") * $ " # ! " % !" " " .x/ " !!) gAd* " "! !" #" #! " ! # .b92/* "" " " ! !% " " " ( " #' !"( ' ( ""!(* " '# +" #" "! "", !!!% * 03121&!!" #"!#"' 44 " % # %! & $ ! ) $ ! !-b8. " ! ) , # ! !) & "%!! # %! # ! % # ! % d " ) # % - ! ! ! ~722.) Notice the range of other possible measurements available from this menu. %! ! " ! "!-%!! , . + - " ) ! ! % ) ! % ! % ) # #% ! ) % $ ! ) #"&#! ! " % " ) ( • " !" ! -%!# ,' • h # - "%/h. • ! % " " *+)·) " % # ! ! )$&%!" ! & % & ! "! #!) 34 /2010$ ! ! % ! # $ # ! ! ! ! ! !%!( # ! " %! !"! *"$! ) • b16! • ! !!%$!%!!* • !!%!!( &"#,! &! (!&! ! ! * "! ! !!&"!!..&"" ! ! * " & ! e "! ! ! ! ( ! ! ! ! !* &" ! ! $ ! !, $$!!! /d $" &! ! !!&",! !' !!! &"#!!(!$ ! !! #!*! !$#( !* $!&!(!! !! ! !* ! $ ! ! ! #( $ !* "!$!$ & "%$!!# !!! ! * &!, $$! $!#!! #!! "!!&* ! !#!&! !!!&!*"!$!! 7!$"* ! !! ! & ! !!( &" " ! " !5!! "* $ ! ! " ! " * # ! " ! ! !!/x0! !!* $ &" ! ! ! !& ! * · ! &" * ! ! (&"! +!-,!!&!" #! /b* 14232% !"! "!& 56 !" $ "!$# ! ! # ! ! &( ! ! ! $ $ " $ &" "( * ! ! "! !$ ! ! #" $ ! ! ! " +( $ # ! " ! ! ! */b+( # &" ! !%!" "!!'! !! !' $ $ #! " # !( %'!& & $ ! ! #! !#!&(!!! ( "!" !!)!! !( !"!#!" "! ! ! ! !!"! ! ! "!( &" ! ! !!"! ! "! &" $ ! ! ( ! "! $ % ! "! #" ! #! !! &( ! " ! # #& ! ! ! &" # !&"&!# !!!$ !"! ( + "!( &#! + "!!!"( &#! ! !!"( ! ( #&""! %&"!( 12 ,0./.% !"! "!& • %# # • & % • ! • # • ! • # • ! " • ! # ' (+)*)$ ! ! % ,- #$# 3 !"#$ !!$ # &") ! '"% # !%$ $ #$# ' "# ###) '$ $ $" !!$ # $ !" & %$! "!"#$$ # $- # $%$ "$" %#$!!$ +# ' '$ %#$##!#!"#$-$# # '# ' $ #$# 3 !"#$ !!$ # #$# %$ # $ %$ "+ "!# $")!!$ #+"' # &"%$ "#8+:;- %$ " < ) % ' # ' #$# 3 !"#$ # %# %$ '$ $ $ 3 $$#$#!!$ $ !" %"$##$$#$#%"#- !) %" %$!"## c$#$$ '!%#$ #$#3!"#$!!$ - $" # $ #" $ $$ # ' " '''%#%$ "<, • %"!"#$## #*#+ • %#'$# #!# /!"$'$ %0 • %## #*#- %'86 "96!"# #"$ %# $ #$ 7; &%# %- $ $ #"$# "# $' $# #" $"$ #!"#$- !"$%" $ $ $' "# %" '$ ") $ $ $ ! %- • '$"# "#$#- • ") " # " "%# $$ ' !!)$ $#$#$ '- & $ $ '$ #! # + $)! !"##·- $ ) % & %#$ # $ ' #$- ) % '" $ & $ %$ " #"+!"## h' %"&# # $ &"# #$#+ $" $ $$ #" ' % !" %$"#%$177+=+<+78+>-;+.--2 $ $ %# # #$# - Lists can also be defined in the Calculator application 9= 48676(##$"%$#%$ ) ! $ " &" $ ! # !! ! ! !$ ' + " ! !$ !# #&- "!&! '+ ! $" ! % ! ! ! ! ! "!!! "!!%!.~721/+ 6 $& .! !(/ "! ! ! ! - + & ! $ $+ !* 4 !& ! % 84,4+ ! 4 $ ! " & b !! ##+ *!&"!!!"!%+ *!&"!%+! "!&)&"$&! ! !! $+ ! !! &" ! ! "!"!!& ! ! "! $$+ b!!#" ! #! !+ - !!!!" !!&"$"%! ! " !) !)# !$ )" + " ! "! !" "$&" 2 ! & &".º/&" !!" . b16/+ !"!" ! &" £"!!" !!$ g ¡¢ ! !!" &"$! !"+ 05343% !"! "!& 67 ! # ! (#&%&# 1$!# $%$%*% !%&#%# # !/ (%# &%$$%!$% $)! (%$( #$-&$%$&#% % # %## &% #;/ • #%( !.3c%$%/ • $ % & % !%&# !% # % &$ 3 b3224 &$ &$%%#*./ • '#%*!*%*!%'# • $+% &3 b1214/ • '% 8!%&#%&##%'& #*!#$$/^/ • ' % % ! (# * & $%#&% % %#/ $$#* &! ! % & %'#-%# '%/ %%%%$$%#/ • %&#% !8/<9!#$$/^/ % #& % $ !#%#- 7- %$ & !%&# ($ $%/ %#$% '#% ' '$ &$ &% % !%&# 3// 4/ %# % % #& & # %# % & 3b3214/# '! % # & $ % & &% % %% # #%/ 3 % !!) # #$ &%&$%$%&#4/ * & ' % * & * # % $&# % $% %%# % %#* ! !%&# %$ '&$ % !#$% !/ ( & $& %&#$ &$ % ' ! &#$% %# #, %$"&%! $$% #%# $#%% '&$ # &% $ %% ' $(# % &##% &%/ # )!- % $# $ ( # &$$ % % $ %% (# &$ &% # :. %# #!$ # !# * $% #( ##!/ 0%( ##*%'&$* & $ # #% # %$22 &% # : * & (# $ % ' % #!$ # &- %&% $/ :7 59787)$ $%#&%$&% * # #! #" "! ! #!#) "' ! % #""'+ % " # "!!"!+ • • " " !! b51"!%" "#""+ "" " '#""! &%"!" "# "'#"!+ ! #" ! # %+ • !! b5 + ! " ' "! "" $ %* " ""'" !(#!+ • & " %" #! " ! + • %#!"" + # % ! " $#! " " )'# " 2+4 '# % ! "" " #" $ " "+ $#",!""!!"! ' % # " " !$ '!%' "! !" ! + " 2+5 '# #" ! " 6 " % # !!/T + "!"! "!"# "!! % " $ #!! ' #"" + " ! #!! ' #"! "+ ! " $ " !" "% " %! #!"#!"" " !- '#" #+ . ~51/+ " "$'$"# ! $ "!" "# ! %".ô/ + The Function Table view is an alternative for any Lists & Spreadsheet page. You can toggle between the two views using /T 03121&!!" #"!#"' 52 ! # ! ! % !! # # !% ( ! ,! -) * & ! !% ) # ( # ( # ,! &- ,! !%-) * $ # # # $ ' "%!! (# $%! ) # • ! • ! ! • & • # !!"+ • ! . % • ! • !% 32 /2010$ ! ! % ! " " $ * - ' # ' ! ) # # - ! ! # ! 6) % %! " ! %! ! 6) ! 20 30 +% !, ! 15"!!) • ! &) • ! # + # !,) • ! &) # c ) Randomly distributed points: no variables have yet been assigned. " ! # %( )x ) ! % !' ! ! · x) %%!# ) b1 % !' #" % )!%!" % ! " ' % " ! $ ) % #) .2010$ ! ! % 43 !$& '#$!$ # " & ! % % " %#% & " "! $## % & ! # b24% ! # & & !# "#& "% " # & !* ""& # % ! ! & # # !#& !# ! "& !# # & ' % && % ! & # /r(Ó)& // +.,-, " # "%' )$%"%! 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