The figure below shows the graph of a rational function f. It has vertical asymptotes x=1 and x=-5, and horizontal asymptote y=2. The graph has x-intercepts -4 and 5, and it passes through the point (-3, 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. O (-) = -, a (x - 6) a f(x) %3D x - b O s(x) = a O s(x) = %3D (x – b)(x – c) a (x – b) (x - c) (x – d) i(-3, 2) 00 10 00 | O s(x) %3D a (x – 6)(x – c) f (x) (* – d)(x – e) 100 00 %D %3D II II

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 40E
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The figure below shows the graph of a rational function f.
It has vertical asymptotes x=1 and x=-5, and horizontal asymptote y=2.
The graph has x-intercepts -4 and 5, and it passes through the point (-3, 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.
O (-) = -,
a (x - 6)
a
f(x)
%3D
x - b
O s(x) =
a
O s(x) =
%3D
(x – b)(x – c)
a (x – b)
(x - c) (x – d)
i(-3, 2)
00
10
00
|
O s(x)
%3D
a (x – 6)(x – c)
f (x)
(* – d)(x – e)
100
00
%D
%3D
II
II
Transcribed Image Text:The figure below shows the graph of a rational function f. It has vertical asymptotes x=1 and x=-5, and horizontal asymptote y=2. The graph has x-intercepts -4 and 5, and it passes through the point (-3, 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. O (-) = -, a (x - 6) a f(x) %3D x - b O s(x) = a O s(x) = %3D (x – b)(x – c) a (x – b) (x - c) (x – d) i(-3, 2) 00 10 00 | O s(x) %3D a (x – 6)(x – c) f (x) (* – d)(x – e) 100 00 %D %3D II II
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