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This tutorial explains how to graph various types of functions TI-89.
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To
graph a function:
Press [ MODE ]
Set graph mode to FUNCTION
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Press
[ green diamond ]
Press [ F1 ]
You should see the following
screen
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Press [ ENTER ] to enter a function
into y1
Enter
the function
Example:
Graph the function f(x) = sin(x)
[
2nd ] [ SIN ] [ X ] [ ) ] [ ENTER ]
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Press
[ green diamond ]
Press [ F3 ]
You should see the following screen
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Graphing
a Parametric Function |
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To
graph a parametric function
Press [ MODE ]
Set
graph mode to PARAMETRIC
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Press
[ green diamond ]
Press [ F1 ] You
should see the following screen
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Enter in x(t) and y(t) Example:
For
the parametric function:
x(t) = t + 2
y(t) = t + 4
[
t ] [ + ] [ 2 ] [ ENTER ]
[ t ] [ + ] [ 4 ] [ ENTER ]
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Press
[ green diamond ]
Press [ F3 ]
You should see the following screen
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Graphing
a Polar Function |
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To
graph a polar function
Press [ MODE ]
Set graph mode to POLAR
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Press
[ green diamond ]
Press [ F1 ] You
should see the following screen
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Enter in the polar function Example:
To graph the function r(x) = 4sin(6x)
[ 4 ] [ 2nd ] [ Y / SIN ] [ 6 ]
[ green diamond ] [ ^ ] [ ) ] [ ENTER ]
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Press
[ green diamond ]
Press [ F3 ]
You should see the following screen
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To
graph a 3D function
Press [ MODE ]
Set graph mode to 3D
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Press
[ green diamond ]
Press [ F1 ] You
should see the following screen
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Enter in the 3D function
Example:
For
the function z1(x) = xy(x^2-y^2) / (x^2 + y^2)
[
X ] [ * ] [ Y ] [ * ] [ ( ] [ X ]
[ ^ ] [ 2 ] [ - ] [ Y ] [ ^ ] [ 2 ]
[ ) ] [ / ] [ ) ] [ X ] [ ^ ] [ 2 ]
[ + ] [ Y ] [ ^ ] [ 2 ] [ ) ]
[ ENTER ]
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Press
[ F1 ]
Select the ninth option |
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Set the options to:
Coordinates = RECT
Axes = AXES
Labels = ON
Style = WIRE FRAME
Press [ ENTER ]
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Press
[ green diamond ]
Press [ F3 / Graph ] |
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Graphing
a Differential Equation (Slope Field) |
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To
graph a differential equation
Press [ MODE ]
Set graph mode to DIFF EQUATIONS
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Press
[ green diamond ]
Press [ F1 ] You
should see the following screen
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Enter in the differential equation
Example:
To
graph the slope field for
y’(x) = x^2
[
t ] [ ^ ] [ 2 ] [ ENTER ]
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Press
[ green diamond ]
Press [ F3 ]
You should see the following screen
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To graph the function at a given point:
Example:
For
the same function as above
Enter yi1 = 1
[ 1] [ ENTER ]
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Press [ green diamond ]
Press [ F3 ] You
should see the following screen
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Graphing
a Piecewise Defined Function |
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To
graph a Piecewise Defined Function
Press [ MODE ]
Set graph mode to FUNCTION
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Press
[ green diamond ]
Press [ F1 ] You
should see the following screen
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Enter the first function
Press [ | ]
Enter the bounds
Repeat for other parts
Example:
y1
= [ X ] [ | ] [X]
[ green diamond ] [ 0 ] [ 0 ] [ENTER ]
y2 = [ X ] [ ^ ] [ 2 ] [ | ] [ X ] [ green diamond ] [ . ]
[ 0 ]
[ ENTER ]
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Press [ green diamond
]
Press [ F3 ]
You should see the following screen
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