HP -32S Owner's Manual page 273

Example: A Local "Flat" Region. Find the root of the function
x + 2 if x<-\
/(*)=-
1 for - K x < 1
^-x + 2 if x>\
Enter the function as the program:
J01 LBL J
J02 1
J03 ENTER *
J04 2
JQ5 RCL+ X
JQ6 x<y?
J07 RTN
J08 4
J09 -
J10 +•-
J l l x>y?
J12 R+
J13 RTN
(a local flat region)
Solve for X using initial guesses of 10 8 and —10 8.
Keys:
•I SOLVE/J | {FN} J
rn 8 F£i fsToi x
1 EHE8E
Hi solve/J I {SOLVE}
HE
LIE
Display:
NO ROOT FND
1.0000E-8
0.0025
1.0000
Description:
No root found using
very small guesses
near zero (thereby re
stricting the search to
the flat region of the
function).
The last two estimates
are far apart, and the
final value of fix) is
large.
If you use larger guesses, then SOLVE can find the roots, which are
outside the flat region (at x=2 and x= —2).
*You can subsequently delete line J03 to save memory.
C: More About Solving an Equation 271