The figure below shows the graph of a rational function f. It has vertical asymptotes x=2 and x=-3, and horizontal asymptote y = 2. The graph has .x-intercepts -4 and 1, and it passes through the point (-1, 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. f(x) f(x): f(x): = f(x) = of (x) a x - b a (x - b) x- c a (x - b) (x a(x - b) (x - c)(x - d) a(x - b) (x - c) (x - d) (x - e) = = DIO 00 10 00 (x - 2) (x + X 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 39E
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The figure below shows the graph of a rational function f.
It has vertical asymptotes x=2 and x=-3, and horizontal asymptote y =2.
The graph has x-intercepts - 4 and 1, and it passes through the point (-1, 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.
Of(x)
f(x)=
f(x)
Of(x)
=
of(x)
=
a
x - b
a (x
b)
x C
a
(x - b) (x - c)
(x
a(x - b)
c) (x - d)
a(x - b) (x - c)
(x - d) (x - e)
DIO
10
00
10
00
(x − 2)(x + 3)
X
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 =2. The graph has x-intercepts - 4 and 1, and it passes through the point (-1, 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. Of(x) f(x)= f(x) Of(x) = of(x) = a x - b a (x b) x C a (x - b) (x - c) (x a(x - b) c) (x - d) a(x - b) (x - c) (x - d) (x - e) DIO 10 00 10 00 (x − 2)(x + 3) X
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