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Classroom Tips and Techniques: Interactive Plotting of Points on a Curve Robert J. Lopez Emeritus Professor of Mathematics and Maple Fellow Maplesoft
<Text-field style="Heading 1" layout="Heading 1">Introduction</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Recently, I needed to draw points on the graph of a curve. Now, this is a task I have done many times, using two plots, one of the points, and one of the curve, and merging the plot data-structures with the display command from the plots package. I was delighted to discover that I could construct this same graph interactively, using the Plot Builder and Maple's drag-and-drop functionality for plots. In this month's article, we'll show how to create the desired graph interactively. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Initializations</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Let's start by loading the plots package interactively, using the Tools/Load Package menu. The evidence that the package has been loaded is the notation LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Loading plots with(plots):
<Text-field style="Heading 1" layout="Heading 1">Generating a Curve</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= For a curve, generate a cubic polynomial that has relative extrema at the points LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiM0YnRjRGNEY0RjQ= and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNictSSNtbkdGJDYkUSI0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjg2LVEqJnVtaW51czA7RidGNEY7L0Y/Rj1GQUZDRkVGR0ZJL0ZMUSwwLjIyMjIyMjJlbUYnL0ZPRlYtRjE2JFEiNUYnRjRGNEY0RjQ=. After determining the cubic, graph it and the two given points. The coefficients in the generic cubic polynomial JSFH 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 LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic= print(); # input placeholder Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCoqJkkiYUdGJSIiIilGJCIiJEYsRiwqJkkiYkdGJUYsKUYkIiIjRixGLComSSJjR0YlRixGJEYsRixJImRHRiVGLEYlRiVGJQ== JSFH are determined by the four equations JSFH 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 LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic= print(); # input placeholder NiYvLCoqJiIiKSIiIkkiYUc2IkYnRicqJiIiJUYnSSJiR0YpRidGJyomIiIjRidJImNHRilGJ0YnSSJkR0YpRiciIiQvLCoqJiIja0YnRihGJ0YnKiYiIztGJ0YsRidGJyomRitGJ0YvRidGJ0YwRichIiYvLCgqJiIjN0YnRihGJ0YnRipGJ0YvRiciIiEvLCgqJiIjW0YnRihGJ0YnKiZGJkYnRixGJ0YnRi9GJ0Y+ LUkmbW92ZXJHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JS1JI21vR0YkNi5RJyZyYXJyO0YnLyUwZm9udF9zdHlsZV9uYW1lR1EoMkR+TWF0aEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R1EldHJ1ZUYnLyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkmbXRleHRHRiQ2JVEmc29sdmVGJ0YvRjIvJSdhY2NlbnRHRjc= solve( { } ); PCYvSSJkRzYiISNQL0kiYkdGJSEjPS9JImNHRiUiI1svSSJhR0YlIiIj The solution has been obtained interactively by selecting Solve from the Context Menu. JSFH The desired polynomial is then 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 LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic= print(); # input placeholder LCoqJiIiIyIiIilJInhHNiIiIiRGJUYlKiYiIz1GJSlGJ0YkRiUhIiIqJiIjW0YlRidGJUYlIiNQRi0= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Building the Plot with the <Font bold="false" italic="true">display</Font> Command</Text-field> The required graph appears in Figure 1. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYyLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEicEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUkjbW5HRiQ2JFEiMUYnL0Y2USdub3JtYWxGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnRj4vJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi1RKiZjb2xvbmVxO0YnRj4vJSZmZW5jZUdGQi8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZaLUYvNiVRJXBsb3RGJ0YyRjUtSShtZmVuY2VkR0YkNiQtRiM2LC1GLzYjUSFGJy1JKG1hY3Rpb25HRiQ2JS1JKm12ZXJiYXRpbUdGJDYjUWZuLCoqJiIiIyIiIilJInhHNiIiIiRGJUYlKiYiIz1GJSlGJ0YkRiUhIiIqJiIjW0YlRidGJUYlIiNQRi1GJy8lK2FjdGlvbnR5cGVHUTptYXBsZXNvZnQuY29tOmxhYmVsKEwxMDIpRicvJSV2aWV3R1EmbGFiZWxGJy1GRzYtUSIsRidGPkZKL0ZNRjRGTkZQRlJGVEZWL0ZZUSYwLjBlbUYnL0ZmblEsMC4zMzMzMzMzZW1GJy1GLzYlUSJ4RidGMkY1LUZHNi1RIj1GJ0Y+RkpGTEZORlBGUkZURlZGWEZlbkY6LUZHNi1RIy4uRidGPkZKRkxGTkZQRlJGVEZWL0ZZUSwwLjIyMjIyMjJlbUYnL0ZmbkZkcC1GOzYkUSI1RidGPkZARj5GPi1GRzYtUSI6RidGPkZKRkxGTkZQRlJGVEZWRlhGZW4tSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuMGVtRicvJSZkZXB0aEdGXnIvJSpsaW5lYnJlYWtHUShuZXdsaW5lRictRiw2JUYuLUYjNiUtRjs2JFEiMkYnRj5GQEY+RkNGRkZnbi1GW282JC1GIzY3LUZbbzYmLUYjNictRltvNiYtRiM2J0Zbc0ZfcC1GOzYkUSIzRidGPkZARj5GPi8lJW9wZW5HUSJbRicvJSZjbG9zZUdRIl1GJ0ZfcC1GW282Ji1GIzYoLUY7NiRRIjRGJ0Y+Rl9wLUZHNi1RKiZ1bWludXMwO0YnRj5GSkZMRk5GUEZSRlRGVkZgcS9GZm5GYXFGY3FGQEY+Rj5GXXRGYHRGQEY+Rj5GXXRGYHRGX3AtRkc2LVEifkYnRj5GSkZMRk5GUEZSRlRGVkZjcEZicS1GLzYlUSZzdHlsZUYnRjJGNUZqcC1GLzYlUSZwb2ludEYnRjJGNUZfcEZedS1GLzYlUSdzeW1ib2xGJ0YyRjVGanAtRi82JVEsc29saWRjaXJjbGVGJ0YyRjVGX3AtRi82JVErc3ltYm9sc2l6ZUYnRjJGNUZqcC1GOzYkUSMxNUYnRj5GX3AtRi82JVEmY29sb3JGJ0YyRjVGanAtRi82JVEmYmxhY2tGJ0YyRjVGQEY+Rj5GZnFGaXEtRi82JVEoZGlzcGxheUYnRjJGNS1GW282JC1GIzYlLUZbbzYmLUYjNidGK0ZfcEZnckZARj5GPkZddEZgdEZARj5GPkZARj4= LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic= %; 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 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Figure 1 The points LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNiYtSSNtbkdGJDYkUSIyRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjE2JFEiM0YnRjRGNEY0RjQ= and LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkobWZlbmNlZEdGJDYkLUYjNictSSNtbkdGJDYkUSI0RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiLEYnRjQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMzMzMzMzM2VtRictRjg2LVEqJnVtaW51czA7RidGNEY7L0Y/Rj1GQUZDRkVGR0ZJL0ZMUSwwLjIyMjIyMjJlbUYnL0ZPRlYtRjE2JFEiNUYnRjRGNEY0RjQ= and the cubic polynomial for which these are relative extrema
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Figure 1 has been constructed by merging separate plots of the points and the polynomial. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1">Building the Plot Interactively</Text-field>
<Text-field style="Heading 2" layout="Heading 2">Points First</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= First draw a graph of the points, then drop the polynomial onto that graph. To obtain a plot of the points, apply the Plot Builder from the Context Menu for the list LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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 LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic= print(); # input placeholder NyQ3JCIiIyIiJDckIiIlISIm JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Onto this graph drop the polynomial LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSShtYWN0aW9uR0YkNiUtSSptdmVyYmF0aW1HRiQ2I1FmbiwqKiYiIiMiIiIpSSJ4RzYiIiIkRiVGJSomIiM9RiUpRidGJEYlISIiKiYiI1tGJUYnRiVGJSIjUEYtRicvJSthY3Rpb250eXBlR1E6bWFwbGVzb2Z0LmNvbTpsYWJlbChMMTAyKUYnLyUldmlld0dRJ291dHB1dEYnRisvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn. The result is Figure 2, in which the default range LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSMxMEYnRi8tRiw2LVEmJmxlcTtGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjc3Nzc3OGVtRicvRkVGTi1JI21pR0YkNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GMFEnaXRhbGljRidGSkZGRi8= has been applied. 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 Figure 2 Drag-and-drop LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSShtYWN0aW9uR0YkNiUtSSptdmVyYmF0aW1HRiQ2I1FmbiwqKiYiIiMiIiIpSSJ4RzYiIiIkRiVGJSomIiM9RiUpRidGJEYlISIiKiYiI1tGJUYnRiVGJSIjUEYtRicvJSthY3Rpb250eXBlR1E6bWFwbGVzb2Z0LmNvbTpsYWJlbChMMTAyKUYnLyUldmlld0dRJ291dHB1dEYnLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZURkA=onto a Plot-Builder graph of the points 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
Figure 3 shows the Axis Properties dialog that can be accessed from the Context Menu for Figure 2. 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DKfDUsUKUer`dV\\tmCxPnXm>tsYaYhmJPhL?MoeTS@UnGIpRAROiOV]lRHVD<kalWL]PTQniur\\eyt=nxhWXioDDvMYka\\OcEWnPpW=YOiOVMKtXY[pXOAuRQQr<uAqu?eYQuYqUR]aTqiTHput=v?TSt<Mg`MQlw;TKQdSquOvENxHochw:IjXmPI\\VQ`uEMpPYx`mkMeTtxTYQlPpRMiW?qJdIloAXT<WQTtJLT_Lq]PpJiuQ<nqUKdmKhDrTQSqdMeURWhy@ToTLRv]VpuQsuXu`Kbqqd=VZxr]duK]MXdpOxp^XsmEtbmJULu_qtJLniqtB@mkaSOetpPxq<PjIUmUxjLppASUakQPodptaQWhmWqElkTwVQLMUuVPn@ModpQ:prrqXIAPXYtj<MDaRwau`px]iTuhwiqw?pQLdywiu^qojHN^ul>LwI\\UEAQOiROiOcEWnlt\\]P>htg\\W`is;pvJdQwQojanFMuwTphPNtQytXUTmjmXqtmlniKTtjfXodhuMUkQ\\OcCU;SpWUUubUmVFADMoRpUXQKgbEVA;XKGwUWU`mcbyuQYhmqSKQH@]Wj=VFirIkxiGi;YCOeTy?bRKSLSDCAYvZnM@IrLhLj@pWLQPdZhx\\J_gyxmTofTQu@?uwatUYqIYfqVbkAcEakWHtvpfkP\\T?qNg[Khdp?cwhquWxg_ibpnmIdN^kNNyBfo\\h^gik`YxAYkwhjE?bqGcNFp`?^hvmNYwnIaE`tHQi\\O`;_k`H]EXZEodLUK]XaCWomho[iwIrHIc]OeN[gjMuB?Uj?Yhsi=mw@?ioYdXMVtkM:MNRMpLlLhrv?Fvew^llipY_QjMxrIAmj\\Kfew@yxJXMlIrhIjugul@gPIfvOibG]ROpVq\\hFZWYZ;AvIy\\IayoyeYQqcIrq>fvaqu?\\iXhhawCy`iFAYt=_v;Qd_qpL=tw<L\\dnaEu?tNyAx\\xOcXpt=NIiYr=mQLRXIsFPNadxvELcPRXTq=EphuqRMtmpToEW[QLJiUU\\NO@Xs\\xO<JP`xl<VLaQ:<tW>:IJxpJApKtUNlLOTdMYaLRdtJyqixJaTmGDPLDkj<mC<v]]KhYRwxMcXkTyV@muXtwhykqUNtIJUtp?`rNeKmuTSUOKMuPxWa]sWyNrtLcEmyhS_EPmqKQMqeXXMHJqhTYQpWIo<uwiXoVulHAvheo^<N^@N?eYKdL:Msx\\Pr<Jh<JJuKryu?pKPPXaHoxIR:<J:<j^P^>oo<?f<6<\"\{\}-%%ROOTG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YGF'-%-BOUNDS_WIDTHG6#$"%+DF*-%.BOUNDS_HEIGHTG6#$"%ISF*-%)CHILDRENG6" Figure 3 Select Axes/Properties in the Context Menu for Figure 2
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= When the option "Use data extents" is unchecked, the "Range min" and "Range max" boxes become available for writing. Enter 1 in the first box and 5 in the second, then select "Vertical Axis" and repeat the process, this time entering LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEqJnVtaW51czA7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y0LyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkMtSSNtbkdGJDYkUSI1RidGL0Yv and 3 for the ranges boundaries. Click "Apply" and "OK". The result will be Figure 4. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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 Figure 4 Figure 2 modified by Context Menu: Axes/Properties
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= The default symbol for the points are an open rhombus, drawn at a size of 10 points. If this is not sufficient, the symbol and symbol size can be changed interactively through the Context Menu. If Figure 4 is modified to have symbol Circle (Solid), and symbol size 15 points, Figure 5 results. 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 Figure 5 Figure 4 with symbol and symbol size interactively modified through the Context Menu
JSFH
<Text-field style="Heading 2" layout="Heading 2">Curve First</Text-field> LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= As in the previous section, graph the points LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictSShtYWN0aW9uR0YkNiUtSSptdmVyYmF0aW1HRiQ2I1EzNyQ3JCIiIyIiJDckIiIlISImRicvJSthY3Rpb250eXBlR1E6bWFwbGVzb2Z0LmNvbTpsYWJlbChMMjM1KUYnLyUldmlld0dRJmxhYmVsRidGKy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw== LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic= print(); # input placeholder NyQ3JCIiIyIiJDckIiIlISIm LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= with the Plot Builder launched from the Context Menu applied to the list of points. Now draw a second graph of the polynomial, again with the Plot Builder. Within the Plot Builder, set the plot window so that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW5HRiQ2JFEiMUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RJiZsZXE7RidGLy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOC8lKXN0cmV0Y2h5R0Y4LyUqc3ltbWV0cmljR0Y4LyUobGFyZ2VvcEdGOC8lLm1vdmFibGVsaW1pdHNHRjgvJSdhY2NlbnRHRjgvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZHLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnL0YwUSdpdGFsaWNGJ0YyLUYsNiRRIjVGJ0YvRi8= and 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. S elect one of the points in the point graph, and drag-and-drop the content of this plot onto the graph of the polynomial. This will result in Figure 6. As before, the symbol used for the point, and its size, can be changed interactively. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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 Figure 6 Interactive plot generated by dropping graphed points onto graph of cubic polynomial
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= The advantage of dropping the polynomial onto a graph of the points is that only one graph has to be drawn. However, the modification of the plot window does not seem to me to be as convenient as it is in the Plot Builder. JSFH The advantage of drawing two graphs, and dropping the image of the points onto the graph of the polynomial is that the Plot Builder can be used to set the plot window for the resulting figure. It might also be more natural to graph the polynomial, then decide to show certain points on it. So, those points can be listed and plotted, then dropped onto the graph of the polynomial. JSFH While working out the details of the constructions discussed here, it became evident that a Context Menu method for adding the image of points to a graph would be useful. This functionality has been added to the feature request list for a future release of Maple. 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