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EL-9900 Graphing Calculator
NotesStep & Key Operation Display
The y-intercept is at (0 ,1). No-
tice that there are no x-inter-
cepts for the graph of f (x).
11-1
2
Find the domain and the vertical
asymptote of f (x), tracing the
graph to find the hole at x = 1.
Since f (x) can be written as
, the domain
consists of all real numbers x
such that x ≠ 1 and x ≠ -1.
There is no vertical asymptote
where x = 1 since this value
of x also makes the numera-
tor zero. Next to the coordi-
nates x = 0.9, y = 0.52, see that
the calculator does not display
a value for y at x = 1 since 1
is not in the domain of this
rational function.
(repeatedly)
Find the x- and y-intercepts of f (x).
3
4
Estimate the horizontal asymptote
of f (x).
The line y = 0 is very likely a
horizontal asymptote of f (x).
The graphing feature of the EL-9900 can create the branches of a rational
function separated by a vertical asymptote. The calculator allows the points of
intersection to be obtained easily.
x - 1
(x + 1)(x - 1)
TRACE
2nd F
CALC
6