This example demonstrates how to

prepare and adjust a graphical

representation of a function. For

example, we want to plot three

different functions:

\begin{center}\begin{tabular}{c}

$f(x) := 25 + 10 \cdot sin \left( \sqrt{ \left| x \right| } \right) $

\end{tabular}\end{center}

\begin{center}\begin{tabular}{c}

$g(x) := \frac{2}{{e}^{ \left| x \right| / 15}} \cdot f \left( x \cdot 50\right) $

\end{tabular}\end{center}

\begin{center}\begin{tabular}{c}

$h(x) := min \left( f \left( x\right) ,\, g \left( x\right) \right) $

\end{tabular}\end{center}

The function argument that represents

the x-values will be taken for N

points within the interval [x1, x2]:

\begin{center}\begin{tabular}{ccc}

$N := 300$ &

$x1 := -30$ &

$x2 := 30$ \cr

\end{tabular}\end{center}

\begin{center}\begin{tabular}{c}

$x := \left[ x1,\, x1 + \left( x2 - x1 \right) / N \,..\, x2 \right]$

\end{tabular}\end{center}

After the functions and their arguments

are defined, you can add the plot box

using the ''New element'' button in the

action bar or ''Add function plot''

button from the tool bar:

\begin{center}\begin{tabular}{c} \includegraphics[width=0.45\textwidth]{graphics/function_plot_fig1.png} \end{tabular}\end{center}

\begin{center}\begin{tabular}{c} \includegraphics[width=0.45\textwidth]{graphics/function_plot_fig2.png} \end{tabular}\end{center}

The function to be plotted will be put

in the middle-left field. It can also

be a built-in or previously declared

function as well as a mathematical

expression that contains any other

operators and functions.

The function input, which represents

the x-values will be put in the

middle-bottom field. It can be a

variable of interval type or a

mathematical expression that contains

an interval variable.

All other four fields describe the

plot boundaries. If these elements

remain empty, the program will

calculate corresponding values

automatically. However, you can edit

these fields at any time and put there

the values you want.

You can plot several functions on the

same plot view. To add an other

function, select the function (by long

click in the middle-left field) after

which an other function shall be added

and press ''Add new argument'' button

from the tool bar:

\begin{center}\begin{tabular}{c} \includegraphics[width=0.45\textwidth]{graphics/function_plot_fig3.png} \end{tabular}\end{center}

\begin{center}\begin{tabular}{c} \includegraphics[width=0.45\textwidth]{graphics/function_plot_fig4.png} \end{tabular}\end{center}

By long click on the middle of plot

area, the context menu and the

floating button ''Object properties''

will appear.

\begin{center}\begin{tabular}{c} \includegraphics[width=0.45\textwidth]{graphics/function_plot_fig5.png} \end{tabular}\end{center}

If you press this floating button, the

''Plot Settings'' dialog will be

displayed. Here, you can change size

and style of the plot area. For

example, the crossed graph looks like

this:

\begin{center}\begin{tabular}{c} \includegraphics[width=0.45\textwidth]{graphics/function_plot_fig6.png} \end{tabular}\end{center}

You can also change the plot line

color, width and style in the ''Line

Settings'' dialog. It appears by long

click on the line marker below the

function name on the left of plot

area:

\begin{center}\begin{tabular}{c} \includegraphics[width=0.45\textwidth]{graphics/function_plot_fig7.png} \end{tabular}\end{center}

For example, we can use dotted lines:

\begin{center}\begin{tabular}{c} \includegraphics[width=0.45\textwidth]{graphics/function_plot_fig8.png} \end{tabular}\end{center}

The number of axis labels and grid line

color can be changed in the ''Grid

Settings'' dialog. It appears by long

click on the free space between the x

minimum value (-30) and the argument

(x) symbol or between the x symbol and

the x maximum value (30) below the

plot area:

\begin{center}\begin{tabular}{c} \includegraphics[width=0.45\textwidth]{graphics/function_plot_fig9.png} \end{tabular}\end{center}

\begin{center}\begin{tabular}{c} \includegraphics[width=0.45\textwidth]{graphics/function_plot_fig10.png} \end{tabular}\end{center}

To hide grid completely just set the

number of grid lines to zero for both

vertical and horizontal axes.