Texas Instruments Titanium TI-89 User Manual

Activities 755
Decomposing a Rational Function
Decomposing a Rational FunctionDecomposing a Rational Function
Decomposing a Rational Function
To examine the decomposition of the rational function
f(x)=(x
3
N10x
2
Nx+50)/(xN2) on a
graph:
1. On the Home screen, enter the rational
function as shown below and store it in a
function
f(x).
Enter:
(x^3N10x^2Nx+50)/(xN2)!f(x)
Note:
Actual entries are displayed in
reverse type in the example screens.
2. Use the proper fraction function
(
propFrac) to split the function into a
quotient and remainder.
3. Copy the last answer to the entry line.
–or–
Enter:
16/(xN2)+x^2N8†xN17
Note:
Move the cursor into the history
area to highlight the last answer. Press
¸ to copy it to the entry line.
4. Edit the last answer in the entry line. Store
the remainder to
y1(x) and the quotient to
y2(x) as shown.
Enter:
16/(xN2)!y1(x): x^2N8ùxN17!y2(x)

Texas Instruments Titanium TI-89 Specifications

General

Display Type	LCD
Display Resolution	160 x 100 pixels
Memory	188 KB RAM, 2.7 MB Flash ROM
Type	Graphing Calculator
Display	Monochrome
Processor	Motorola 68000
Processor Speed	12 MHz
Power Source	4 AAA batteries
Connectivity	USB
Programming	TI-BASIC, Assembly
Operating System	AMS (Advanced Mathematics Software)