Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
The figure below shows the graph of a rational function f.
It has vertical asymptotes x=2 and x=-3, and horizontal asymptote y = 0.
The graph has x-intercept 6, and it passes through the point (0, -2).
The equation for f(x) has one of the five forms shown below.
Choose the appropriate form for f(x), and then write the equation.
You can assume that f(x) is in simplest form.
Continue
1
Of(x)
of(x) =
Of(x) =
Of(x) =
a
x - b
a (x - b)
x - c
a
(x - b) (x - c)
a (x - b)
(x - c)(x - d)
11
UO
II
=
10
1
OO
10
00
of(x) = a (x - 5)(x - 2) - 00
- c)
=
- - e)
expand button
Transcribed Image Text:The figure below shows the graph of a rational function f. It has vertical asymptotes x=2 and x=-3, and horizontal asymptote y = 0. The graph has x-intercept 6, and it passes through the point (0, -2). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form. Continue 1 Of(x) of(x) = Of(x) = Of(x) = a x - b a (x - b) x - c a (x - b) (x - c) a (x - b) (x - c)(x - d) 11 UO II = 10 1 OO 10 00 of(x) = a (x - 5)(x - 2) - 00 - c) = - - e)
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