A rational function has the following characteristics: • A domain of [xx-3, x4, x ER} of [y]y = 1.y = ₁ YER} • A range of • A vertical asymptote at x = 4 • A horizontal asymptote at y = 1 4 • A point of discontinuity when y = . A zero at x = 1 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)
A rational function has the following characteristics: • A domain of [xx-3, x4, x ER} of [y]y = 1.y = ₁ YER} • A range of • A vertical asymptote at x = 4 • A horizontal asymptote at y = 1 4 • A point of discontinuity when y = . A zero at x = 1 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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A rational function has the following characteristics:
• A domain of [xx = -3, x4, x {R}
{y\y ²1, y = ¾.YER}
#
• A range of
• A vertical asymptote at x = 4
●
A horizontal asymptote at y = 1
• A point of discontinuity when y =
. A zero at x = 1
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:
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