Add/Modify 3D Function
This dialog is used to add or modify a
3 dimensional Cartesian graph function.
Function Definition
These fields describe the mathematical attributes of the function to be graphed.
Y=f(x,z)= or X=f(y,z)= or Z=f(x,y)= - The dependent (range) variable in a three 3D function is set here, and may be "X", "Y", or "Z". Mouse click on the down arrow for this combo box, or type an "X", "Y", or "Z" to change dependent variables. If "Y=f(x,z)=" is selected then the function definition may contain only "X", and "Z" independent (domain) variables etc.
Function - Enter the function to be graphed here, must be a valid function definition that agrees with the selected dependent variable. For more information on functions and syntax see: Mathematical Expression Rules.
Examples
1. " X= Y"; Where (-1 <= Y <= 1), (-1 <= Z <= 1). This will produce a "Flat
Plane" shape.
2. "Z= X^2"; Where (-1 <= X <= 1), (-1 <= Y <= 1).
3. "Z= X^2 + Y^2"; Where (-1 <= X <= 1), (-1 <= Y <= 1). This will produce a "Paraboloid", or "Satellite Dish" shape.
4. "Y= sin(X)"; Where (-2pi <= X <= 2pi), (-2pi <= Z <= 2pi).
5. "Y= sin(X)+sin(Z)"; Where (-2pi <= X <= 2pi), (-2pi <= Z <= 2pi).
Color - Opens a dialog to changes the function line color. Current color is displayed in the sample rectangle.
(X), (Y), (Z) Variable
The titles and meanings of these two boxes changes when the dependent function
variable combo box changes. The settings in these two boxes always refer to the
two independent (domain) variables.
If "Y=f(x,z)=" is selected then box #1 is "X Variable", and box #2 is "Z
Variable".
If "X=f(y,z)=" is selected then box #1 is "Y Variable", and box #2 is "Z
Variable".
If "Z=f(x,y)=" is selected then box #1 is "X Variable", and box #2 is "Y
Variable".
Wire Lines Parallel to (X), (Y), (Z) - Use this setting to change the number of evenly spaced lines drawn parallel to the given axis line. Must be an integer value between 0 and 100.
Wire Detail - Use this setting to change the number of plotted points on each line between each line that is drawn parallel to the other axis. Must be an integer value greater than or equal to 0. The maximum value is dependent on the current number of lines parallel to the other axis.
Lower Bound, And Upper Bound - Used to restrict the functions lower and upper domain values for both independent variables. Both bounds are required, and must be in (-700 <= Bound <= +700). The lower bound must be less than or equal to the upper bound. The specified bound is always included in the graph. For example, if (lower bound = -2) and (upper bound = 3) then the plotted domain is (-2 <= X <= 3). Must be a valid constant mathematical expression (in graph units).
Values > 700
3D graphs can not plot any function values (in
graph units) less than -700 or
greater than +700. When a function's dependent (range) variable becomes greater
than this limit it must be rounded, or not drawn. The "Round Down" option can
cause miss-shaped (flattened) graphs. The "Don't Draw" option ignores any
function points less than -700 or greater than +700. This can cause an
incomplete but correctly shaped graph. The "Don't Draw" option is recommended
when a function definition can not be modified to limit its range.