The figure below shows the graph of a rational function f. It has vertical asymptotes x= 1 and x=6, and horizontal asymptote y=0. The graph has x-intercept 2, and it passes through the point (0, -1). 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)= Of(x) = f(x) a(x - b) x-c a (x - b) (x - c) a(x - b) (x-c)(x - d) a(x - b)(x - c) (x-d)(x-e) = 10 00 10 00 00 00 X S
The figure below shows the graph of a rational function f. It has vertical asymptotes x= 1 and x=6, and horizontal asymptote y=0. The graph has x-intercept 2, and it passes through the point (0, -1). 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)= Of(x) = f(x) a(x - b) x-c a (x - b) (x - c) a(x - b) (x-c)(x - d) a(x - b)(x - c) (x-d)(x-e) = 10 00 10 00 00 00 X S
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Please see attached.
![The figure below shows the graph of a rational function f.
It has vertical asymptotes x= 1 and x = 6, and horizontal asymptote y = 0.
The graph has x-intercept 2, and it passes through the point (0, -1).
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.
1,2
(0, -1)
f(x) =
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)
=
OIL
10
00
10
00
a(x − b)(x − c) __ [00
=
(x - d)(x -e)
00
X
5
8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbb66fa7-7c22-4982-a22f-aaed542f65b3%2Fd9cecf78-a431-4b56-8b74-005a7b06fa5a%2Fjuvgymc_processed.png&w=3840&q=75)
Transcribed Image Text:The figure below shows the graph of a rational function f.
It has vertical asymptotes x= 1 and x = 6, and horizontal asymptote y = 0.
The graph has x-intercept 2, and it passes through the point (0, -1).
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.
1,2
(0, -1)
f(x) =
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)
=
OIL
10
00
10
00
a(x − b)(x − c) __ [00
=
(x - d)(x -e)
00
X
5
8
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