Feature List

Cartesian Functions

• FX Graph defaults to Cartesian functions. Type any expression involving x (for example 3x3-2x2+2/3) and FX Graph will graph the function.
• y = is optional for Cartesian functions.
• Functions can be plotted as points.
• Function domains can be entered in (-2,4] or -2 < x <= 4 format.
• Entering domains in {-2,4} format draws the graph with the restricted domain but places arrow heads on the ends of the curve.
• Points of interest are automatically calculated and displayed when the mouse pointer hovers over the point.
• Points of interest can be calculated as exact values.
• First and second derivative curves.
• Curves graphed with out of range arrows if required.
• Vertical asymptotes calculated and drawn.
• Horizontal asymptotes.
• Oblique asymptotes.
• Tangent lines can be added to function curve.
• Secant lines can be added to function curve.
• Tables of values can be calculated for function and added to graphic.
• Points can be marked on function and coordinates of the points shown.
• Integrals can be added.
• Cartesian functions can be typed in any order. No need to convert to y = format.

Inverse Functions

• Functions entered as x = f(y) will be graphed as inverse functions. Entered domains are interpreted as applying to y.

Implicitly Defined Functions

• Any (valid) combination of x and y can be graphed.
• FX Graph will attempt to internally rearrange the function to y =, then x =, in order to provide more advanced analysis.
• Conics.

Polar Functions

• Any function entered as r = f(th) can be graphed. FX Graph uses th to represent theta
• Inverse polar functions (eg th = sin r) are supported (and are often very interesting).
• Degrees and radians supported.

Parametric Equations

• Enter functions as x=f(t);y=f(t) .
• Domains can be entered in (-2,4] or -2 < t <= 4 format.
• You can show the direction of the parameter on the curve.

Inequations

• FX Graph can interpret and use >, >=, < and <=.
• Graph either side of inequation depending on local preference.
• Shading color-coded to inequation.
• Inequations do not need to be rearranged to y >= format.
• Inequations can be calculated for Cartesian, inverse, implicitly defined and polar functions.
• Feasible Regions. FX Graph can calculate and show JUST the feasible region for a system of inequations

Constants, Variables and Animations

• a, b, c, d and m are used as constants.
• Constants and variables can be changed using controllers.
• Animate graphics using constants and variables.
• Generate families of curves based on a changing constant.
• Dynamically show drawing of curve using variable controllers.
• Constants can be used throughout FX Graph. Domains, bounds of integration, tangent points, number of divisions for integral approximations can all be animated using constants.

Integrals

• Draw integrals using mouse.
• Integrals to x-axis, y-axis and integrals between curves.
• Calculate areas and integrals automatically.
• Calculate integral approximations using trapeziums, minima, maxima, midpoint, left, right and Simpson's rule.
• Integrals can be rotated to create Volumes of Revolution.

Arc/Curve Lengths and Ruler

• The arc length tool operates in an almost identical way to the integral tool but calculates the arc/curve length of the function.
• The ruler tool allows you to measure linear distances on the axes.

Axes and Grids

• Annotate axes in degrees and fractional multiples of pi.
• Quickly set axes and scales using the shape of the axes and maxima. Other settings set automatically.
• Full manual control over axes if required.
• Ability to show broken axes.
• Log and log/log axes.
• Cartesian grids and dots.
• Polar grids and dots.

Points and Vectors

• Plot points eg (1,2).
• Join plotted points eg (1,2)+(3,5).
• Draw vectors eg <1,4>.
• Add vectors eg <3,4>+<-2,3>.
• Vectors from points eg (1,2)+<2,3>.
• Can use constants in vectors to create vector equation of lines eg (1,2)+a<1,4>.

Complex Numbers

• Plot points on complex plane eg z=2+2i or z = 4cis pi/2.
• Plot solutions to equations such as z^5=64.
• Use magnitude of complex numbers eg |z| > 4.

Slope Fields

• Use y' to create slope fields.
• Plot points on a slope field to solve differential equations.

3D Graphing

• 3D Cartesian graphs are entered as z = x2/10-4sin y (for example).
• Enter 3D polar functions using th for theta and ph for phi. For example: r=5sin 2th+5cos 3ph
• Enter 3D vectors and points. Use similar notation to 2D Points and Vectors. For example (1,2,3)+ <4,3,2>
• Enter 3D parametric functions in terms of t. For example: x = 5 cos t; y = 5 sin t; z = 5 cos 3t

Volumes of Solids of Revolution

• Right click on any integral to rotate it around the x or y axis. See the result in 3D.
• The volume controller lets you dynamically demonstrate the rotation.

Annotations

• Annotations automatically generated from functions.
• Annotations can be added to graph using one click.
• Annotations are automatically updated during animations.
• Annotations can be fully customised.

Output Options

• High resolution bitmaps, PNG, TIF and JPG files.
• Vector based SVG files.
• Insertable OLE object.

Integration and Compatibility

• One file type compatible across all platforms.
• Connection based system which allows integration with any product.
• Insertable OLE object.
• Integration with Word 2007 (and later) ribbon bar.
• Integration with Powerpoint 2010 (and later) ribbon bar.
• Output suitable for Pages and Keynote.',FALSE,TRUE);
• Create FX Graph file from multiple inserted OLE objects in a Word file.