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.
Displays a symbolic expression representing f. Edit this field to redefine f.
|Displays a symbolic expression representing g. Edit this field to redefine g.|
Displays the domain used to plot f and g. Edit this field to specify a different domain.
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.
Derivative of f
Integral of f
Simplified form of f, if possible
Numerator of f
Denominator of f
Reciprocal of f
Inverse of f
The operators int f and finv can 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
Replaces f(x) by f(x) + a.
Replaces f(x) by f(x) - a.
Replaces f(x) by f(x) * a.
Replaces f(x) by f(x) / a.
Replaces f(x) by f(x) ^ a.
Replaces f(x) by 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.
Replaces f(x) by f(x) + g(x).
Replaces f(x) by f(x)-g(x).
Replaces f(x) by f(x) * g(x).
Replaces f(x) by f(x) / g(x).
The remaining buttons on the third row interchange f and g.
Replaces g with f.
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.
Adds f to the end of the list of stored functions.
Replaces f with the next item on the function list.
Deletes f from the list of stored functions.
The other four buttons on the fourth row perform miscellaneous functions:
Resets the calculator to its initial state.
Displays the online help for the calculator.
Runs a short demo of the calculator.
Closes the calculator's windows.