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Advanced Keyboard/ALGEBRA USING THE SHARP EL-9900
Copyright © 2002, Sharp Electronics Corporation. Permission is granted to photocopy for educational use only.
1. Graph the rational function f(x) = by first pressing Y= CL to clear
the Y1 prompt. Press ENTER CL to clear additional Y prompts.
2. Enter Y1 = by pressing a/b X/θ/T/n – 1 X/θ/T/nx
2
– 1 .
3. Graph in the decimal window by pressing ZOOM A (ZOOM) 7 (Dec).
4. The function consists of two branches separated by the vertical asymptote
(the line x =
-
1). Look closely at the graph and observe the “hole” in it at
x = 1. Press TRACE and investigate the "hole." Note that the hole will be
seen only when the window is a "friendly" or decimal window.
5. Notice that there are no x-intercepts for the graph. The y-intercept can
easily be found at x = 0, y = 1 by pressing 2ndF CALC and 6 (Y_Incpt).
6. Observe that the line y = 0 is very likely a horizontal asymptote of f(x).
RATIONAL FUNCTIONS
(x – 1)
(x
2
– 1)
(x – 1)
(x
2
– 1)
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