Valuesof
/fa)
may be approaching infinity at the location where the
graph changes sign (see figure b, below). This situation is called a
pole.
Since the
SOLVE
operation determines that there is a sign
change between two neighboring values of x, it returns the possible
root. However, the value for
/fa)
will be relatively large. If the pole
occurs at a value of x that is
exactly
represented with 12 digits, then
that
value
would
cause
the
calculation
to
halt
with
an
error
message.
f(xJ
a
fCxJ
A
a b
Special
Cases:
A
Discontinuity
and
a
Pole
Example:
A
Discontinuous
Function.
Find
the
root
of
the
equation:
IP(x) - 1.5 = 0.
264
C:
More
About
Solving
an
Equation
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