A rational function has the following characteristics: • A domain of {x x -2, x ±5, x {R} 12 * {y}\y = 1, y = ¹/72₁ YER} • A range of • A vertical asymptote at x = -2 A horizontal asymptote at y = 1 ● • A point of discontinuity when y = . A zero at x = -7 12 27/7/7/23 Determine the A, B, C and D values for a possible equation for this function in factored form. (x-A)(x+B) y = (x-C)(x+D) State your answer as ABCD. (Do not include spaces or commas) Answer:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
icon
Related questions
Question
A rational function has the following characteristics:
• A domain of {x x = -2, x = 5, x {R}
12
of {y]y = 1, y = 1/7 . YER}
• A range of
• A vertical asymptote at x = -2
. A horizontal asymptote at y = 1
• A point of discontinuity when y =
. A zero at x = -7
12
7
Determine the A, B, C and D values for a possible equation for this function in factored form.
(x-A)(x+B)
y =
(x-C)(x+D)
State your answer as ABCD. (Do not include spaces or commas)
Answer:
Transcribed Image Text:A rational function has the following characteristics: • A domain of {x x = -2, x = 5, x {R} 12 of {y]y = 1, y = 1/7 . YER} • A range of • A vertical asymptote at x = -2 . A horizontal asymptote at y = 1 • A point of discontinuity when y = . A zero at x = -7 12 7 Determine the A, B, C and D values for a possible equation for this function in factored form. (x-A)(x+B) y = (x-C)(x+D) State your answer as ABCD. (Do not include spaces or commas) Answer:
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning