• Program for constructing graphs of functions. Graph for plotting mathematical functions

    Almost any mathematical function can be visualized as a graph. In order to help users who have encountered certain difficulties in building them, a huge number of different programs have been developed. The most common and useful of them will be discussed below.

    3D Grapher is one of the programs for plotting function graphs. Unfortunately, its capabilities do not include the creation of two-dimensional graphs; it is designed only for visualization mathematical functions in the form of three-dimensional images.

    In general, this software provides a very high-quality result, and also provides the opportunity to track changes in the function over time.

    AceIT Grapher

    Another program in this category that cannot be ignored is AceIT Grapher. Like 3D Grapher, it allows you to create 3D graphs, however, in addition to this, it is not deprived of the ability to display appearance functions on the plane.

    It is very nice to have a tool for automated research of a function, which allows you to avoid long calculations on paper.

    Advanced Graph

    If you are looking for really high quality software to build function graphs, then you should pay attention to Advanced Grapher. This tool, in general, has a similar set of capabilities to AceIT Grapher, but there are some differences. It is important to have a translation into Russian.

    It is worth paying attention to the extremely useful tools for calculating derivatives and antiderivative functions, as well as displaying them on a graph.

    Dplot

    This representative of the category under consideration is a little more difficult to handle. With this program, you can perform all the same functions with the functions as in the case of the previous two, but this may require certain preparations.

    The main disadvantage this tool we can confidently call the extremely high price for full version, which makes it not the best option, because there are other solutions to the problems that arise when plotting mathematical functions, for example, Advanced Grapher.

    Efofex FX Draw

    Efofex FX Draw is another function graphing program. Pleasant visual design, coupled with a wide range of capabilities that are not inferior to its main competitors, allow this product to take its rightful place in its segment.

    A pleasant difference from competitors is the ability to plot statistical and probabilistic functions.

    Falco Graph Builder

    One of the tools for constructing function graphs is Falco Graph Builder. In terms of its capabilities, it is inferior to most similar programs, if only because it provides the ability to build only two-dimensional graphs of mathematical functions.

    Despite this, if you do not need to create voluminous charts, then this representative can be an excellent choice, at least because it is completely free.

    FBK Grapher

    A program created by Russian developers from FBKStudio Software, FBK Grapher is also a worthy representative of this category software. Possessing everyone necessary tools for visualizing mathematical expressions, this software, in general, is not inferior to foreign analogues.

    The only thing that FBK Grapher can be reproached for is that the design of three-dimensional graphs is not the most pleasant and understandable.

    Functor

    Here, as in 3D Grapher, it is possible to create only three-dimensional graphs, however, the results of this program are very specific and not very rich in details, because they do not have any symbols.

    Given this fact, we can say that Functor is suitable only when you only need to get a superficial idea of ​​​​the appearance of a mathematical function.

    GeoGebra

    Creating graphs of mathematical functions is not the main task of the program, because it is intended to perform mathematical operations in a broader sense. Among these are the construction of various geometric shapes and interaction with them. Despite this, this software copes, in general, with creating function graphs no worse than specialized programs.

    Another plus in favor of GeoGebra is that it is completely free and is constantly supported by its developers.

    Gnuplot

    This software is the most different from its competitors in the category in question. The main difference between this program and its analogues is that all actions with functions in it are performed using the command line.

    If you do decide to pay attention to Gnuplot, then you need to know that it is quite difficult to understand how it works and is recommended for users who are familiar with programming at least at a basic level.

    The programs presented above will help you understand the construction of a graph of a particular mathematical function of almost any complexity. Almost all of them work on a similar principle, but some have a wider range of capabilities, making them the best options for selection.

    Graph – an application for building mathematical graphs, which are based on a function. The program is executed with open source code. Any existing functions are supported here, and for convenience, they are divided into categories. You can create any graph, be it sine, cosine, algorithm, etc. The graph itself is also customizable; you can set the thickness of its lines and their color, or specify the indentation with which the data will be displayed. Graph allows you to display function conditions, such as equality or vice versa.

    You can save the schedule anywhere graphic format. Moreover, you will be able to export the coordinate system and the graph itself to a file, which other programs, for example, can then work with. The graph builder can also display their values, recalculate the data, insert comments, make custom functions, set animation and much more.

    Advantages of Graph:

    • simplicity - you can understand the program in a matter of minutes;
    • supported simple functions, parametric and polar;
    • the ability to construct any auxiliary lines;
    • You can add any inscription near the graph;
    • it is possible to copy the result as a picture;
    • the ability to build a graph using points or tabular data;
    • There is a print to file function.

    Let's finish

    The first impression of a charting program is deceiving, and contrary to the belief that it is difficult to understand, you will be able to figure it out quickly in the fall. After just two minutes of investigation, we managed to build the simplest line graph. Moreover, everyone is supported here possible methods data output. This is both a simple printout and transmission of the result. third party programs. The coordinate system itself is also very flexible.

    The application will be useful not only for students who learn all the tricks of mathematics, but also for their teachers. In addition, you do not need to register for the program. Click the button below to download for free latest version programs via direct link.

    Instructions

    First you need to run the program Microsoft Office, if you have it. If it is not there, then you can download the installer from the Internet or a disk in any specialized store. Download this program can be found on the official website of Microsoft Corporation ( http://www.microsoft.com/rus/).

    After you have launched the program, go to the “Insert” tab, which is located on the toolbar in the left corner of the window.

    Then find the "Illustrations" section. It will offer you a fairly large list additional modules(for example, shapes, clip, etc.) that you can use when working on your document. In our case, you need to click on the “Diagram” button.

    As a result, a new window should open in front of you, which will present a large list of chart types: pie, histogram, bar, dot, surface, stock, bubble, donut, radar. You can do all this with using Microsoft Word 2007. To , you need to select the appropriate button.

    Next a small window will appear Microsoft Excel, in which you need to specify certain values ​​​​on which your graph will be built. Don’t forget to enter it into the graph so that later it will be more convenient for you to work with the values. After confirming the creation, you will see it on the current page of the document. Edit this schedule you can at any time.

    If after working with the chart you are not satisfied with its appearance, you can change it to a more suitable one at any time. To do this, right-click on the chart and select “Change Chart Type.” In the new window, click on the appropriate graph type and click OK. Your chart will automatically change its appearance.

    Sources:

    • how to draw in word
    • How to Draw in Word 2013

    Nowadays, almost all documents are created using text and graphic editors. Charts and diagrams that were previously drawn with a pencil and ruler can now be drawn using a variety of programs.

    You will need

    Instructions

    After making changes to the work schedule and their approval, it is necessary to draw up an order to put the new work schedule into effect. The text of the order indicates set parameters working day, and as a basis a reference is given to the normative document.

    Sources:

    • how to change a chart in Word in 2019

    Imagine that you are faced with the task of conducting a sociological study. It involves processing a large amount of data. But in addition to this, they need to be presented clearly so that a person who is not familiar with the topic being discussed understands what is being discussed. How to build histogram?

    Instructions

    Construct a two-dimensional coordinate plane. Place the answers and scores along the X-axis, and the frequency of their occurrence along the Y-axis. Mark the results on the graph so that you end up with columns whose number matches the number of marked features. Their height should coincide with the frequency of their occurrence. To make the information easier to perceive, color the columns in different colors. Choose colors so that they do not “harm” the eyes.

    Open the application Microsoft Word. On the toolbar, find the “Insert” item, left-click on it and find the “Illustrations” item. In the illustrations, look for “Diagrams.” A window will appear in front of you with all sorts of options. In it, select histograms.

    Click OK. Often there is a charting icon on the toolbar. Click on it and do the same. A window with a data table will appear. To draw histogram, enter in these columns all necessary information. Click OK. A histogram will appear on the sheet. To adjust it, double-click on it with the left mouse button. This way you can rename columns and axes.

    Open the Microsoft Excel application. It is much easier and more convenient to build a histogram in it than in Word, because it is easier to adjust the range of values ​​covered. Enter the data corresponding to the coordinates of the points. Then do the same as you did in Microsoft application Word. In the “range” line, enter it manually or select the filled cells.

    Once upon a time, at work, I often needed to prepare diagrams for various occasions. Excel's capabilities were often not enough and I had to resort to more sophisticated methods. Therefore, in this article I decided to remember my youth and talk about six useful programs to create diagrams.

    Dia

    Dia- free editor to create graphs of varying complexity.

    This program will serve as a cool alternative to Microsoft Visio. Simple and intuitive interface, hundreds of shapes, support for databases and custom shapes in XML or SVG. And thanks to the open source code, the program is available on Windows, Mac and Linux.

    Powerful program for quick creation quality diagrams.

    Both manual creation and import of external data are available. The program's built-in algorithms quickly process an array of data and automatically visualize it. The program is available on Windows, Unix/Linux and Mac.

    Another open source diagramming program.

    Pencil Project is focused on creating charts visually (that is, not from a dataset). A built-in collection of forms and templates will help you quickly choose required format diagrams. The program also has a large community of enthusiasts who are always ready to help with creating charts or answer questions about the program.

    Alternative office package from Microsoft. Which means everything is here.

    Indeed, if you are used to making graphics in Visio or Excel, then the first thing you should try is an alternative in the form of LibreOffice Draw. Here you will find all the same familiar tools and functions, just in a slightly different package.

    Suitable for those who want cheap and cheerful.

    A minimalistic interface to the point of disgrace, the only purpose of which is to create a diagram. Despite its apparent simplicity, there are many functions here. Supports import and export of data, automatic calculation of formulas and much more.
    There is a portable version, but it only supports Windows systems.

    Not like everyone else and not for everyone. Here's a simple (duh) and intuitive way to create charts. clear language programming.

    But once you understand the language, you can create diagrams of any complexity.

    Graph is powerful yet free tool for students, schoolchildren and scientists to create graphs of mathematical and trigonometric functions. The program allows you not only to set a function by which a graph is automatically constructed, but also to add a lot of additional elements, including rows of points, tangents or perpendiculars, approximation curves, and labels. In Graph, you can easily calculate the length of a curve, the integral area, you can shade the graph area, view the function values, and export the graph to a file.

    When we first launch Graph, we only see the x and y axes in the program window. As you move the mouse over the graph area, the status bar displays the current cursor coordinates for each axis.

    To add a function that will be used to build a graph, click the button [Add new feature] or key Insert. First of all, you need to choose the type of function, Graph supports standard, parametric and polar functions. Then, depending on the selected type, we enter the function itself in one or more fields (f(x), x(t) and b y(t), r(t) respectively. Conventional symbols are used here, for example, the degree is written as ^, multiplication with an asterisk *. Argument range from, to, and step are optional, as are the start and end markers of the line. But it is advisable to customize the curve style. We can specify the line type, color and thickness, as well as style (lines, dots). Finally in the field signature text Enter, if necessary, the name of the function. If you leave this field blank, the function itself will be indicated on the graph.

    Graph instantly builds a graph for a given function. To make changes to a function, just double-click on it in the list of functions on the left. By the way, the program allows you to simultaneously display several function graphs in one picture. By enabling or disabling checkboxes in the list, you can quickly adjust the visibility of charts. The frame with graph captions can be easily moved in the graph area.

    It would seem that the program builds a graph for any given function and, in general, nothing else is needed. However, the Graph developers have provided a lot additional features. For example, creating a tangent or perpendicular to a function. Press the button [Add a new tangent or perpendicular (normal) to the selected function] or key F2 and enter the line parameters. A required parameter is the x value. The rest of the settings are already familiar to us. The line type can be specified as dashed. The new tangent is also displayed in the function list and in the labels.

    The function of painting a selected area on a chart is very useful. Select a function from the list and press the button [Shade part of the graph](or F3). Then we set the parameters for shading the area. Graph provides the following hatching methods:
    - between function and x-axis;
    - under the function;
    - above the function;
    - between the function and the y-axis;
    - inside a function;
    - between functions.
    Beyond the tab Plot there is more Settings, where you can specify the name of the selected area of ​​the graph, as well as the color and type of hatching, display of the border and, if necessary, the range relative to the intersection.

    The shaded area appears in the function list and in the label area. You can change it just like any other element - double click in the list of functions.

    Button [Add a series of points] opens a settings window for plotting several points with specified coordinates. Enter the name of the row, and manually indicate the x and y coordinates of each point. Here we select the type of coordinates (rectangular, polar); type, color and size of markers (there are round, square, triangular, diamond-shaped, etc.). Points can be connected by a line; in the settings you can set its type, color, thickness and interpolation (linear, one-dimensional cubic spline, two-dimensional cubic spline, semi-cosine). In addition, near each point you can display its coordinates; their location is selected in the drop-down list. In a separate tab we set the error.

    After creating a series of points, the button becomes active [Add approach curve for selected row of points], which allows you to add a trendline. In the Graph settings, select the type of trend line (linear, logarithmic, polynomial, power, exponential, moving average), line type, color and thickness. In the tab Custom several more types of trend lines: BET model, Exponential association, Hyperbolic fit, Rational function, Reciprocal, Saturation-Growth rate and Sinusoidal.

    It is no longer possible to change the trendline type for the approximation curve, so in in this case the line must be deleted and recreated.

    Button [Function values] opens on the left additional fields to view function values ​​depending on a given x. Simply enter the x value manually and look at the function values ​​here. At the same time, on the graph dotted lines the location of the point is displayed.

    Button [Show table of values] opens a window where you can get a list of values ​​for a given range (fields From And To) and step. Just click [Computing] And full list will appear in the table. Directly in the table, you can select a range of rows and cells and right-click to call context menu, which allows you to copy values ​​to the clipboard or export them to a file. Graph provides the ability to export values ​​to CSV and TXT files.

    Button name [Calculate path length using a function between two points] speaks for itself. We only need to select a section of the curve. This is done easily - click on the curve and, with the left mouse button held down, darken the curve. The calculated curve length is immediately displayed. The range can also be set using fields From And To.

    Another button with a “talking” name [Calculate the definite integral on the given interval] allows you to calculate the area enclosed by a function curve. Here we also select a section of the curve and instantly obtain the calculated value of the area using the integral.

    In Graph you can create labels on a chart, which are essentially ordinary text labels. However, you can put in a label special character, as well as an object, such as a formula created in Microsoft Equation.

    On the menu Editing - Axes Graph developers offer all kinds of settings for the appearance of the axes and coordinate grid. Here you can configure the minimum and maximum value each axis, tick spacing, grid display, logarithmic scale enabled. You can also change the label of each axis in Graph. Many graphs use other quantities, such as time and distance, mass and volume, etc. In the tab Options set the title of the graph and its location. You can also customize the background color, axes and grid, label fonts, axes and numbers.

    Finally, we note the possibility of exporting the graph to graphic file EMF, SVG, BMP, PNG, JPG or PDF format. Enough for this on the menu File select item Save as image. And, of course, the graph and functions can be saved in a special Graph format, and later loaded and continued editing. For quick copying only graphics to the clipboard go to the menu Editing – Copy Image.

    Specifications:
    Interface language: Russian, English, etc.
    OS: Windows 2000, XP, Vista, 7
    File size: 10 MB
    License: free
    Link: