Appendix
A-9: Graphing
Example A-9.8
Graph a polygonal line through the points 1,2,3,7,4,−2.
Solution
Interactive Solutions
To obtain Figure A-9.8(a) interactively, create a degree-one spline via the Curve Fitting Assistant.
Type the list of points 1,2,3,7,4,−2
Context Panel: Curve Fitting≻Interactive Curve Fitting≻x (as variable) Splines≻ Degree of the spline: 1 Plot On 'Done" return Plot (See Figure A-9.8(b).)
p1:=plot([[1, 2], [3, 7], [4, -2]],style=line,color=red): p2:=plot([[1, 2], [3, 7], [4, -2]],style=point,color=black,symbol=solidcircle,symbolsize=20): plots[display](p1,p2);
Figure A-9.8(a) Polygonal line through given points
Figure A-9.8(b) Use of the Curve Fitting Assistant to obtain a polygonal line as a degree-one spline
Although the Curve Fitting Assistant is most easily launched from the Context Panel, to launch it for this example you can also press: .
Coded Solution
Enter the list of points.
L≔1,2,3,7,4,−2
Graph the polygonal line through the points.
p1≔plotL,style=line:
Graph the points.
p2≔plotL,style=point,symbol=solidcircle,symbolsize=20:
Combine the graphs of the polygonal line and the points.
plotsdisplayp1,p2
The display command in the plots package merges any two or more plot data-structures.
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