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Introduction to FX Graph 5

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Getting Started Click on the y= button (or right click on the graph) to enter a function

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Each Line is a Function The function entry section of the Quick Entry screen allows for multiple lines. Each line will be graphed as a separate function.

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Points Of Interest FX Graph finds points of interest automatically. As you move the mouse around, FX Graph will show you any points of interest near the cursor.

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Right Click Menus 1 Many features are accessed by right-clicking on the graphs A.Right-clicking at point A will open the Quick Entry screen - the one we have been using to enter our functions. B.Right-clicking at point B will open the Scales screen which will allow you to set the scales you use for the function. C.Right-clicking at point C will offer a right click menu (providing FX Graph has found the function and displayed it for you).

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Right Click Menus 2

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Setting Axes

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Annotations 1

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Annotations 2

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Cartesian / Inverse Cartesian Functions FX Graph never needs to be "told" what type of graph to draw - it automatically determines the graph type by what you type. To draw a Cartesian function, just use x's – to draw Inverse Cartesian functions, use y’s. 3x2 + 2x - 4 y = 3x2 + 2x - 4 f(x) = 3x2 + 2x - 4 3x2 + 2x - 4 - y = 0 3y - 4/y x = 2y2 + 3y - 4 f(y) = 3y + 4

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Using the Function Entry System 1 The function has no y = but FX Graph will interpret it as a Cartesian function anyway. We have not had to do anything to get FX Graph to interpret x2 as x squared. Most of the time, FX Graph will find powers automatically. We have used the / sign to represent division. We have wrapped the numerator and denominator of the fraction in brackets - not too tricky as most mathematicians realize that the fraction line is a de-facto bracket. We have used sqrt to represent square roots. We could have used sr instead.

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Using the Function Entry System 2

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Points 1

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Points 2

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Vectors

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Polar Functions 1 We use th to represent θ

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Polar Functions 2

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Inequations and Feasible Regions 1

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Inequations and Feasible Regions 2

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Inequations and Feasible Regions 3

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Complex Numbers & Argand Diagrams 1

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Complex Numbers & Argand Diagrams 2 FX Graph can undertake some complex calculations,

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Complex Numbers & Argand Diagrams 3 …solve complex powers…

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Complex Numbers & Argand Diagrams 4 and graph some graphs of the magnitude of z

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Parametric Functions Note use of semicolon

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Implicitly Defined Functions

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Slope Fields

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Differential Equations

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Tangent / Secant Lines You can add tangent and secant lines to Cartesian functions

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Integrals You can add integrals to Cartesian functions

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Tables of Values Tables of Values can be added to most functions

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Setting Domains 1

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Setting Domains 2

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Setting Domains 3 The second style is slower, but more versatile.

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Plot As Points

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Constants 1 FX Graph 4 interprets a, b, c, d and m as constants in your functions

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Constants 2 Constants can be used just about everywhere!

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Families of Curves x2 +a/x

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Animations

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Email Tutorials Efofex provides comprehensive training for FX Graph 4 available as convenient email tutorials. Register at www.efofex.com/emailtutes.php. The system will send an email a day for a few weeks. www.efofex.com/emailtutes.php Email tutorials are available for all Efofex products.

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