Sharp EL-9600c manual EL-9650/9600c/9450/9400 Graphing Calculator, Since f x can be written as x

, the domain

EL-9650/9600c/9450/9400 Graphing Calculator

Step & Key Operation	Display	Notes
(When using EL-9650/9600c)	(When using EL-9650/9600c)
*Use either pen touch or cursor to operate.

2 Find the domain and the vertical asymptote of f (x), tracing the graph to find the hole at x = 1.

TRACE (repeatedly)

Since f (x) can be written as x - 1

(x + 1)(x - 1)

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.

3

4

Find the x- and y-intercepts of f (x).

2nd F CALC 6 *

Estimate the horizontal asymptote of f (x).

The y-intercept is at (0 ,1). No- tice that there are no x-inter- cepts for the graph of f (x).

The line y = 0 is very likely a horizontal asymptote of f (x).

The graphing feature of the EL-9650/9600c/9450/9400 can create the branches of a rational function separated by vertical asymptote. The calculator allows the points of intersection to be obtained easily.

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