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HP -27S Owner's Manual page 211

Scientific

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For
the
Solver
to find
a
root, the
root
has
to
exist
within
the
range
of
numbers
of the
calculator, and f(x)
must be defined
in
the
domain
where
the
iterative
search occurs.
The
Solver always
find
a
root
if
one
or more of
these
conditions are
met:
I
TWo
estimates
yield f(x) values
with
opposite
function's graph
crosses
the r-axis
in
at
least
those
estimates
(figure
B-3a).
I
f(x) always
increases
or
decreases
as
x is
increased
(figure
B-3b).
I
Th" SaPh
of
f(x)
is either
concave
or
convex
everywhere (figure
B-
3c).
r
It
f(x)
has one
or
more local
minima and
maxima,
each occurs
singly
between adjacent zeros
of
f(x)
(figure
B-3d).
Figure B'3. Functions
for
Which
a
Root Gan Be
Found
signs,
and
the
one place
between
2lO
B:
tore
About the Solyer

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