Function calculator.
Syntax
funtool
Description
funtool is a visual function calculator that manipulates and displays functions of one variable. At the click of a button, for example, funtool draws a graph representing the sum, product, difference, or ratio of two functions that you specify. funtool includes a function memory that allows you to store functions for later retrieval.
At startup, funtool displays graphs of a pair of functions, f(x) = x and
g(x) = 1. The graphs plot the functions over the domain [-2*pi, 2*pi]. funtool also displays a control panel that lets you save, retrieve, redefine, combine, and transform f and g.
The top of the control panel contains a group of editable text fields.
- f=
- Displays a symbolic expression representing
f. Edit this field to redefine f.
- g=
- Displays a symbolic expression representing
g. Edit this field to redefine g.
- x=
- Displays the domain used to plot
f and g. Edit this field to specify a different domain.
- a=
- Displays a constant factor used to modify
f (see button descriptions in the next section). Edit this field to change the value of the constant factor.
funtool redraws f and g to reflect any changes you make to the contents of the control panel's text fields.
The bottom part of the control panel contains an array of buttons that transform f and perform other operations.
The first row of control buttons replaces f with various transformations of f.
- df/dx
- Derivative of
f
- int f
- Integral of
f
- simple f
- Simplified form of
f, if possible
- num f
- Numerator of
f
- den f
- Denominator of
f
- 1/f
- Reciprocal of
f
- finv
- Inverse of
f
The operators intf and finv may fail if the corresponding symbolic expressions do not exist in closed form.
The second row of buttons translates and scales f and the domain of f by a constant factor. To specify the factor, enter its value in the field labeled a= on the calculator control panel. The operations are
- f+a
- Replaces
f(x) by f(x) + a.
- f-a
- Replaces
f(x) by f(x) - a.
- f*a
- Replaces
f(x) by f(x) * a.
- f/a
- Replaces
f(x) by f(x) / a.
- f^a
- Replaces
f(x) by f(x) ^ a.
- f(x+a)
- Replaces
f(x) by f(x + a ).
- f(x*a)
- Replaces
f(x) by f(x * a).
The first four buttons of the third row replace f with a combination of f and g.
- f+g
- Replaces
f(x) by f(x) + g(x).
- f-g
- Replaces
f(x) by f(x)-g(x).
- f*g
- Replaces
f(x) by f(x) * g(x).
- f/g
- Replaces
f(x) by f(x) / g(x).
The remaining buttons on the third row interchange f and g.
- g=f
- Replaces
g with f.
- swap
- Replaces
f with g and g with f.
The first three buttons in the fourth row allow you to store and retrieve functions from the calculator's function memory.
- Insert
- Adds
f to the end of the list of stored functions.
- Cycle
- Replaces
f with the next item on the function list.
- Delete
- Deletes
f from the list of stored functions.
The other four buttons on the fourth row perform miscellaneous functions:
- Reset
- Resets the calculator to its initial state.
- Help
- Displays the online help for the calculator.
- Demo
- Runs a short demo of the calculator.
- Close
- Closes the calculator's windows.
See Also
ezplot, syms
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