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funtool

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.

Text Fields

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.

Control Buttons

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

simplify 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 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

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

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Introduced before R2006a

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