User`s Manual - Manual del Usuario
Contents
1. the exponent must be in parentheses Squares and cubes can be entered using lx and x keys but without parentheses Wrong Description of error Right cos 12 30 Exponent isn t between 2 and 9 cos 30 12 cos 2 30 Exponent must be in parentheses cos 230 or cos 2 30 Autosaving the user functions The user functions are saved when application is closed When application is opened later the user functions will be available again 9 Graph and Clear buttons Graph button Shows the graph of the current function Clear button Clears the current function and its graph 10 1 2734693877551 2 06521622793224 Fig 2 Main window Right panel 10 Cursor coordinates Shows x y coordinates of the cursor Cursor is shown as a blue circle Cursor motion is simultaneous with mouse motion Note Cursor coordinates is not shown for Parametric or Polar functions 11 Graphic area Shows the graphic of the function Normally the graphic of the function is shown in red color However Piecewise and Multiple functions are shown with several colors 11 We can click the right button of mouse to show a contextual menu Then we can choose the next menus Zoom in Zoom out Isometric scales X Y Copy coordinates Copy graph Full screen graph normal window graph We can click and drag in order to move the graphic 12 Cursor This cursor is shown as a blue circle Curso2. products specifications and prices at any time without prior notice A VaxaSoftware Mathematical software FUNGRAPH Graphs of functions in 2D Fig 1 Main window Left panel 1 Menu bar It contains the menus File Edit View and Help File menu Graph Calculate graph of current function Print Open the Print window to print the current function and its graph Exit Close the application Edit menu Copy graph Copy current graph into clipboard View menu Full screen graph Single function Show the single function input panel Piecewise function Show the piecewise function input panel Parametric function Show the parametric function input panel Polar function Show the polar function input panel Multiple functions Show the multiple functions input panel Help menu User s manual PDF document Show this manual Application registration Show the registration form window to register the application Disabled functions in the unregistered version Show the list of disabled functions when the application is not registered Home page www vaxasoftware com Connect to VaxaSoftware home page An active Internet connection and a browser are required About Show the Splash window with the version and description of the application 2 Type of function buttons Allow select 5 types of functions Single Show the single function input panel Piecewise Show the piec
3. 4 a 2 4 Note Implicit multiplication has greater priority than division So expression 1 2zx is calculated as 1 2 z 0 159154943091895 WARNING Implicit multiplication has less priority than functions So the expression sin 2x is calculated as sin 2 x and not as sin 2 x Implicit power In many expressions we can omit the power operator sign in order to improve legibility This application assumes implicit power in the following case A variable before a number Examples Input line expression Internal calculation 2 a2 a a5 a 5 12 5t 6 t 5t 6 WARNING We cannot use implicit power with pi constant rz or e constant When pi constant is followed by a numeric value an implicit multiplication is assumed instead of implicit power So 7100 iscalculatedas 2 100 and not m 100 About e constant 5e7 is calculated as a scientific notation value 5 10 and not Ben 7 Power of functions with exponent previous to its argument PFEPA In textbooks the power of a function is shown with exponent previous to its argument Example sin 30 sin 201 In this application we can also enter expressions in this format EZ Internal calculation sin 30 0 25 sin 30 2 log 100 8 log 100 43 sin 4 30 0 0625 sin 30 4 sin 9 30 0 001953125 sin 30 9 WARNING 1 Exponent must be an integer positive number between 2 and 9 2 If we use the power operator
4. lt 1 34078079299425x10 argtanh x lt 1 3 i arctan x yx abs x int x x lt 1 79769313486231580778x10 x x lt 1 34078079299425x10 x x lt 5 64380309412236x10 xhy x lt 1 79769313486231580778x10 if y is not integer then x gt 0 if y 0 then x 0 JE Tix ox 0 lt x lt 1 79769313486231580778x10 x 0 for Inx and log x exp x 1 79769313486231580778x102 lt x lt 709 78271289338402 Main window Alt F4 Exit Ctrl F Calculate current graph j Ctrl F4 Exit Ctrl P Print current function and its graph ESC Cancel full screen graph and go back to normal window graph F1 Help Show User s Manual PDF document F5 Calculate current graph Shift F1 Show about window Reference Description License Internal precision General range of calculation Levels of parentheses Types of function graphs Scientific functions and others Operators Angular units FUGP FUNGRAPH is a Windows application to calculate 2D graphs of mathematical functions Trialware As a rule precision is 1 in the 16th digit From 2 47032822920x10 to 1 79769313486x10 and 0 0 is assumed for values within 2 47032822920x10 4 28 levels 5 main types of graphs Single function Piecewise function Parametric function Polar function Multiple function 27 Scientific functions and others sin cos tan ar
5. 90 degrees Ran key Radians rad 1 right angle 2 rad The current angular unit key is shown in blue color Priority sequence Expressions are calculated from left to right However this application determines automatically the calculation sequence according to rules of algebra Example To calculate 3 4 7 the sequence is 1 7 A8 2 4 49 196 3 3 196 199 result Priority list of operators and functions Priority level Operators and functions 6 Parentheses 5 Scientific functions sin cos log 4 A 3 Implicit multiplication 2 i 1 Implicit multiplication In many expressions we can omit the multiplication operator sign in order to improve legibility This application assumes implicit multiplication in the following 3 cases 1 A numeric value before a variable function or left parenthesis Examples Input line expression Internal calculation 25a 25a TT 7 1 4 sin 30 4 sin 30 2 4 5 2 4 5 sin 30 cos 50 sin 20 cos 50 2 A right parenthesis before a number variable function or left parenthesis Examples Input line expression Internal calculation 1 2 7 1 2 7 1 2 a 1 2 a 1 2 cos 5 1 2 cos 5 1 2 3 4 1 2 3 4 3 A variable before another variable a function or left parenthesis Examples Input line expression Internal calculation ab a b alog5 a log 5 a 2
6. UNIQUE for EACH COMPUTER You cannot use the same REGISTRATION KEY for multiple computers You can freely distribute unaltered copies of the installation system of the software to other users You cannot decompile the software nor use no type of reverse engineer for its analysis or modification You cannot use part or the totality of the software to create a new software COOKIES VaxaSoftware only uses cookies during the registration process If you want to register the software without using cookies please contact us at info vaxasoftware com Conflicts of shared files VaxaSoftware assumes no liability for conflicts due to the incompatibility of shared files dll ocx and other files VaxaSoftware s software use shared files dll ocx and other files It is possible that the shared file already exists and whether or not previously replaced by a different version during the installation of the VaxaSoftware s software This can cause the installed software may not work and or a third party software that shares the same file does not Also the installation of a third party software can cause the VaxaSoftware s software or third party software may not work correctly VaxaSoftware will try to resolve these conflicts in a reasonable manner despite its satisfactory resolution is not guaranteed Design products specifications and prices are for information purposes only VaxaSoftware reserves the right to change or modify design
7. User s Manual FUNGRAPH Version 1 9 0 Mathematical software Graphs of functions in 2D Windows XP Windows Vista Windows 7 Windows 8 Windows 10 WALA SOFTWARE Reference FUGP www vaxasoftware com ENGLISH ire lele BE 3 Terms E 3 Main window Left TE 4 Main Klee gt Ode EE 11 Range for entry values EEN 13 Shortcut SYS w_ _ R R_ m u mm mm 13 ENEE Eeer 14 Registered trademarks Ae 15 FUGP is a Windows application to calculate 2D graphs of mathematical functions Please read this manual carefully in order to learn all the capabilities of the application In no event shall VaxaSoftware be liable to anyone for direct indirect special collateral incidental or consequential damages by the use or impossibility of use of the software nor by the effects in the operation of other software or the operating system Before the installation we recommended to make backup of your data and create a restoration point You will be able freely to evaluate the software during the time that considers necessary Passed this period of evaluation you would have or to register it or uninstall it To register the software please see the option REGISTER APPLICATION in the help menu of the software After paying the registry fee you will receive by email the REGISTRATION KEY of the software Once registered the software it will be able to use the options that were disabled until that moment The REGISTRATION KEY is
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9. csin arccos arctan sinh cosh tanh argsinh argcosh argtanh log In Jx 4 Xe x x 10 exp int abs rnd 7t E Arc Hyp 6 Operators Addition Subtraction Multiplication Division Power Implicit multiplication 2 angular units Degrees DEG and radians RAD 14 VaxaSoftware and VaxaSoftware logo are trademarks of VaxaSoftware Microsoft Windows Windows XP Windows Vista Windows 7 Windows 8 Windows 10 and logos are registered trademarks or trademarks of Microsoft Corporation in the United States of America and or other countries Adobe Adobe logo PDF and Reader are registered trademarks or trademarks of Adobe Systems Incorporated in the United States of America and or other countries PayPal and PayPal logo are registered trademarks or trademarks of PayPal Inc and or eBay Inc in the United States of America and or other countries YouTube and YouTube logo are registered trademarks or trademarks of YouTube LLC and or Google Inc in the United States of America and or other countries Google and Google logo are registered trademarks or trademarks of Google Inc in the United States of America and or other countries Visa and Visa logo are registered trademarks or trademarks of Visa Inc in the United States of America and or other countries Amex American Express Amex logo and American Express logo are registered trademarks or trademarks of American Express Comp
10. ewise function input panel Parametric Show the parametric function input panel Polar Show the polar function input panel Multiple Show the multiple function input panel 3 Function input boxes Allow input functions 4 Quantity of parts functions buttons Allow select the quantity of parts or functions This option is only available for piecewise and multiple function types 5 Example selection and My function buttons Allow select an example function To go back to the current user function you have to press the My function button 6 Range of variables input boxes Allow input the range for variables x y f a 7 Messages output box Shows errors and messages from the virtual keyboard 8 Virtual keyboard Allows edit mathematical expressions to input functions Direct input functions Symbol Description sin Sine cos Cosine tan Tangent abs Absolute value int Integer part rnd Random number within 0 1 x Square Symbol Description log Decimal logarithm In Napierian logarithm Bel Square root Ee Cube root 10 Decimal antilogarithm e Exponential x Cube Trigonometric and hyperbolic functions Press ARC and or HYP keys and then SIN COS or TAN keys to get the following functions Symbol Description arcsin Arc sine arccos Arc cosine arctan Arc tangent Symbol Description sinh Hyperbolic sine cosh Hyperbol
11. ic cosine tanh Hyperbolic tangent argsinh Hyperbolic arg sine argcosh Hyperbolic arg cosine argtanh Hyperbolic arg tangent Operator keys Symbol Description Symbol Description Addition Subiraction Multiplication I Division Power Symbol Description Symbol Description Equal to Not equal to lt Less than or equal to gt Greater than or equal to lt Less than gt Greater than Other keys Symbol Description Symbol Description DEG Angular mode is degrees DEL Delete left character DS Angular mode is radians Clear current input line Parentheses x y a t Variables x y a t 0123456789 Numeric values E Scientific notation input Decimal point n Pi constant Decimal separator This application uses decimal point as decimal separator Scientific notation The scientific notation is used to show very big or very small numbers A scientific notation number has a mantissa and a power of 10 To enter scientific notation numbers we use letter E to input the exponent of 10 Examples 5 67 x 10 isenteredas 5 67 E 89 1 23 x 10 24 is entered as 1 23 E 34 Angular units deg rad For trigonometric functions the angular unit for output and input can be selected from 2 formats degrees and radians The angular unit is selected with the following keys ES key Degrees 9 1 right angle 90
12. r motion is simultaneous with mouse motion The cursor is shown over the graphic according to the current function Noite Cursor is not shown for Parametric or Polar functions 13 X Y zoom buttons Set zoom for X axis and Y axis separately 14 Scroll buttons Move the graphic towards up down left and right 15 Zoom buttons Allow us zoom in zoom out 16 Select function buttons Allow us select a function for multiple functions graphs 17 Full screen graph button Shows the current graph in full screen 18 Isometric scales button Sets the scales of axes X Y as 1 1 19 Window control buttons These are the classic buttons of the windows of MS Windows Minimize button Minimizes the application to an icon on the desktop Maximize Restore button Maximizes restores the application s window size Close button Closes the application Also we can press Alt F4 keys on our keyboard 12 General range for entry and results values 2 4703282292062327x10 1 797693134862315807x10 and 0 0 is assumed for values within 2 470328229206232721 x10 sin x Degrees DEG x lt 5 284602884791370710x10 cos x Radians RAD x lt 9 2233719x10 tan x Degrees DEG x 2n 1 90 Radians RAD x 2n 1 n 2 arcsin x arccos x x lt 1 sinh x cosh x tanh x x lt 709 78271289338402 argsinh x x lt 1 34078079299425x10 argcosh x 1 lt x
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