Activities 97
Decomposing a Rational Function
This activity examines what happens when a rational function is
decomposed into a quotient and remainder. Detailed information about
the steps used in this example can be found in Basic Function Graphing
and Symbolic Manipulation.
Decomposing a Rational Function
To examine the decomposition of the rational function
f(x)=(x
3
N10x
2
Nx+50)/(xN2) on a graph:
4. Press † repeatedly to execute each line in
the script one at a time.
Note: Press † and select
2:Clear split to go
back to a full-sized Text Editor screen.
5. To see the results of the script on a full-sized
screen, go to the Home screen.
Note: Press 2 K twice to display the
Home screen.
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.
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