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{SECT 0 {EXCHG {PARA 4 "" 0 "" {TEXT -1 19 "An Introduction to " }
{TEXT 256 5 "Maple" }{TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 19 "Grap
hing Functions " }{TEXT 257 1 "y" }{TEXT -1 3 " = " }{TEXT 258 5 "f(x)
 " }{TEXT 282 44 "by Bob Bradshaw, Ohlone College, Fremont, CA" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "To graph a function like " }
{XPPEDIT 18 0 "y = x^2;" "6#/%\"yG*$%\"xG\"\"#" }{TEXT -1 11 ", use pl
ot(" }{TEXT 259 8 "function" }{TEXT -1 4 ", x=" }{TEXT 260 11 "start..
end)" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "plot(x^2,x=-4..4);\n" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 26 "\nYou can also specify the " }
{TEXT 261 1 "y" }{TEXT -1 8 " values." }}{PARA 0 "" 0 "" {TEXT -1 0 "
" }{MPLTEXT 1 0 28 "plot(x^2,x=-4..4,y=-10..25);" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 96 "\nInstead of enterring the functions within the pl
ot command, you can define the functions first." }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 42 "y1:=x^3;\ny2:=4-x^2;\nplot([y1,y2],x=-4..4);" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 99 "By clicking on the graph, you can \+
use the menus and the icons to alter the appearance of the graph." }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 104 "\nThe appearance of the graph can
 also be changed within the plot statement by using a series of option
s." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "plot([y1,y2],x=-4..4,color=[g
reen,blue]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "plot([y1,y2
],x=-4..4,color=[green,blue],thickness=[3,6]);" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 73 "plot([y1,y2],x=-4..4,color=[green,blue],style=
point,\nsymbol=[box,cross]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 70 "plot([y1,y2],x=-4..4,color=[green,blue],linestyle=[2,3],\nthickn
ess=2);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 70 "plot(y1,x=-4..4,
labels=[Time, Temperature],labelfont=[TIMES,BOLD,18]);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 113 "plot(y1,x=-4..4,labels=[Time, Temp
erature],labelfont=[TIMES,BOLD,14],title=\"My Graph\",titlefont=[TIMES
,BOLD,18]);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 85 "\nThe plotting rou
tines are not perfect. This is supposed to be the graph of a circle." 
}}{PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "y3:=sqrt(9-x^2);\ny4:=-y3;\nplot(
[y3,y4],x=-10..10);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 18 "\nUsing th
e option " }{TEXT 262 19 "scaling=constrained" }{TEXT -1 59 " makes th
e graph look like a circle rather than an ellipse." }}{PARA 0 "> " 0 "
" {MPLTEXT 1 0 44 "plot([y3,y4],x=-10..10,scaling=constrained);" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 78 "\nIncreasing the number of points \+
attempts to join the ends of the semicircles." }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 59 "plot([y3,y4],x=-10..10,numpoints=5000,scaling=constra
ined);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 58 "\nMaple can create and \+
graph piecewise continuous functions" }}{PARA 0 "> " 0 "" {MPLTEXT 1 
0 48 "y6:= piecewise(x<2,x,x>=2 and x<5,9, x>=5,10-x);" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "plot(y6,x=-5..10,thickness=2);" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 88 "\nIn order to produce a graph that
 shows the discontinuity, use the option \"discont=true\"" }}{PARA 0 "
" 0 "" {TEXT -1 1 " " }{MPLTEXT 1 0 43 "plot(y6,x=-5..10,discont=true,
thickness=2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 
"" {TEXT 278 5 "Maple" }{TEXT -1 70 " can also create a graph of serie
s of points. First, create a list of " }{TEXT 279 1 "x" }{TEXT -1 5 " \+
and " }{TEXT 280 1 "y" }{TEXT -1 7 " values" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 21 "xvalues:=[1,2,3,4,5];" }}{PARA 0 "> " 0 "" {MPLTEXT 
1 0 21 "yvalues:=[3,2,6,7,1];" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 47 "Next, turn the two lists into a list \+
of points." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "points:=[[xvalues[n],
yvalues[n]]$n=1..5];" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 49 "\nFinally
, graph the points with the plot command." }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 63 "plot(points,x=0..8,style=point,symbol=circle,view=[0.
.8,0..8]);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 62 "\nYou can combine t
he graph of the points with any other graph." }{MPLTEXT 1 0 95 "plot([
points,3+sin(x)],x=0..8,style=[point,line],symbol=circle,\ncolor=[gree
n,red],thickness=2);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 62 "\nThere a
re additional plotting commands that are available in " }{TEXT 281 5 "
Maple" }{TEXT -1 99 ". To access many of these, you must first load th
e plotting subroutine using the following command." }}{PARA 0 "> " 0 "
" {MPLTEXT 1 0 12 "with(plots);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
444 "\nOne of the commands in the plotting package is \"display.\"  Th
is lets you create and store a series of graphs and then display them \+
with a later statement. To do this, simply give the standard plot stat
ements names like p1, and p2. Be sure to end the statements with colon
s rather than semicolons. Using a colon will hide the output. If you w
ant to see what happens, try putting a semicolon at the end of the nex
t statement instead of a colon.)" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 84 
"p1:=plot(x^2,x=-2..2,color=green):\np2:=plot(3*cos(x),x=-4..4,color=r
ed,thickness=3):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 58 "\nFinally, cr
eate the graph by using the \"display\" command." }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 15 "display(p1,p2);" }}}{EXCHG {PARA 4 "" 0 "" {TEXT -1 
12 "\nYou Try it." }}{PARA 0 "" 0 "" {TEXT -1 44 "1. Graph the followi
ng equation. Adjust the " }{TEXT 263 1 "x" }{TEXT -1 5 " and " }{TEXT 
264 1 "y" }{TEXT -1 49 " values to create an appropriate viewing windo
w.\n" }{XPPEDIT 18 0 "y = x^4-58*x^3+6*x^2-7*x+1;" "6#/%\"yG,,*$%\"xG
\"\"%\"\"\"*&\"#eF)*$F'\"\"$F)!\"\"*&\"\"'F)*$F'\"\"#F)F)*&\"\"(F)F'F)
F.F)F)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 98 "2. Change the above graph so that the axes are in a large
 font. Also create a title for the graph." }}{PARA 0 "" 0 "" {TEXT -1 
100 "\n3. Create a single graph containing the graphs of the following
 functions on the interval \n-2*Pi < " }{TEXT 277 1 "x" }{TEXT -1 58 "
 < 2*Pi using three different colors and line thicknesses." }}{PARA 0 
"" 0 "" {TEXT -1 0 "" }{TEXT 265 1 "y" }{TEXT -1 8 " = sin(2" }{TEXT 
266 1 "x" }{TEXT -1 3 "), " }{TEXT 267 1 "y" }{TEXT -1 9 " = 2sin(2" }
{TEXT 268 1 "x" }{TEXT -1 7 "), and " }{TEXT 269 1 "y" }{TEXT -1 9 " =
 3sin(2" }{TEXT 270 1 "x" }{TEXT -1 2 ")." }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 0 "" 0 "" {TEXT -1 161 "4. Create a single graph containi
ng the graphs of the following functions using three different symbols
. The graphs should consist of points, not a smooth curve." }}{PARA 0 
"" 0 "" {TEXT -1 0 "" }{TEXT 271 1 "y" }{TEXT -1 6 " = ln(" }{TEXT 
272 1 "x" }{TEXT -1 3 "), " }{TEXT 273 1 "y" }{TEXT -1 7 " = ln(2" }
{TEXT 274 1 "x" }{TEXT -1 7 "), and " }{TEXT 275 1 "y" }{TEXT -1 7 " =
 ln(3" }{TEXT 276 1 "x" }{TEXT -1 2 ")." }}{PARA 0 "" 0 "" {TEXT -1 0 
"" }}{PARA 0 "" 0 "" {TEXT -1 82 "5. Graph the following discontinuous
 function. Be sure the graph is discontinuous." }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }{XPPEDIT 18 0 "y := PIECEWISE([-5, x < 2],[x^2, 2 <= x]
);" "6#>%\"yG-%*PIECEWISEG6$7$,$\"\"&!\"\"2%\"xG\"\"#7$*$F-F.1F.F-" }}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}}}{MARK "25 7 0" 35 }{VIEWOPTS 1 1 0 
1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }