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Plots of functions represented by a parametric variable

• You can draw plots of functions represented by a parametric variable.
• The number allowed to draw the plots must not exceed 5.
• To start, click "Parametric Variable Functions" button on the applet or select "Parametric Variable Functions" item from Tools in the menu bar.

When you draw the sample graph,

1. Click the "Set" button at the line "Number of functions (max 5)".
2. When clicking the "Draw" button bellow, the graph is displayed in another window.

Setting a number of functions

1. The title for the graph can be specified at the line "Graph title (Option)". Click the "Set" button after describing it.
2. The label for the abscissa in the graph can be specified at the line "Label for abscissa (Option)". Click the "Set" button after describing it.
3. The label for the ordinate in the graph can be specified at the line "Label for ordinate (Option)". Click the "Set" button after describing it.
4. Input a number of functions to be drawn at the line "Number of functions (max 5)", and click the "Update" button. The number of functions must not exceed 5.
5. After that, click the "Set" button.

Inputs

1. Input the parametric variable function for x at the line "x1", and click the "Set" button. Where the parameter name is x, and the names of the constants are p1 and p2, and so on.
2. If the constants (p1, p2, etc) are included in the parametric variable function for x1, input the values delimiting in space at the "Constants for x1", and click the "Set" button.
3. Input the parametric variable function for y at the line "y1", and click the "Set" button. Where the parameter name is x, and the names of the constants are p1 and p2, and so on.
4. If the constants (p1, p2, etc) are included in the parametric variable function for y1, input the values delimiting in space at the "Constants for y1", and click the "Set" button.
5. The explanatory note (legend) for the function can be specified at the line "Legend for function1 (Option)". Click the "Set" button after describing it.
6. The color of the line of the function can be selected at the line "Line color of function1 (Option)". Click the "Set" button after selecting it.
7. Input similarly for the number of functions specified.
8. Specify the range for the parameter(parametric variable) x included in both the parametric variable function x and y at the line "Parameter range" which the values must be delimited in space, and click the "Set" button. (=3.14159...) can be specified as a unit other than the numerical value. For example, it can be specified as "2*pi", "1.5*pi", and so on.

Outputs

• When the "Draw" button is clicked, the graph is displayed in another window.

Graph window

1. You can change the title for the graph at the line "Title". When a suitable title is inputted, and the "Set title" button is clicked, the title is changed.
2. You can change the labels of x and y axis at the line "Label". When a suitable label is inputted respectively, and the "Set x label" button and the "Set y label" button are clicked, the labels are changed.
3. You can change the display ranges of x and y axis at the line "Range". When a suitable range is inputted respectively (the numerical values must be delimited in space), and the "Set x range" button and the "Set y range" button are clicked, the graph that the display range has been changed is displayed again.
4. You can change the scales of x and y axis from the linear to the log scale at the line "Scale". When changing it to the log scale, check each check box. When releasing it, remove the check from the box.
5. Explanatory notes (legends) can be displayed at the position specified. At the line "Legends", specify the position at which the explanatory notes are displayed, and click the "Set" button.
6. Ticks can be put in x and y axis at the line "Ticks". Tick can be put by inputting a suitable tick value (1 to 10) and clicking the "x ticks" button or the "y ticks" button.
7. To save a graph image, refer here.