Introduction to FX Graph 5

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

function

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.

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.

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).

Right Click Menus 2

Setting Axes

Annotations 1

Annotations 2

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

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.

Using the Function Entry System 2

Points 1

Points 2

Vectors

Polar Functions 1

We use th to represent θ

Polar Functions 2

Inequations and Feasible Regions 1

Inequations and Feasible Regions 2

Inequations and Feasible Regions 3

Complex Numbers & Argand Diagrams 1

Complex Numbers & Argand Diagrams 2

FX Graph can undertake some complex calculations,

Complex Numbers & Argand Diagrams 3

…solve complex powers…

Complex Numbers & Argand Diagrams 4

and graph some graphs of the magnitude of z

Parametric Functions

Note use of semicolon

Implicitly Defined Functions

Slope Fields

Differential Equations

Tangent / Secant Lines

You can add tangent and secant lines to Cartesian functions

Integrals

You can add integrals to Cartesian functions

Tables of Values

Tables of Values can be added to most functions

Setting Domains 1

Setting Domains 2

Setting Domains 3

The second style is slower, but more versatile.

Plot As Points

Constants 1

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

Constants 2

Constants can be used just about

everywhere!

Families of Curves

x2 +a/x

Animations

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.

Email tutorials are available for all Efofex products.