A rational function has the following characteristics: • A domain of {x|x = -2, x ±5, x € R} = {x|x {y]y = 1, y = 1/7/1₁ YER} • A vertical asymptote at x = -2 • A horizontal asymptote at y = 1 A point of discontinuity when y = • A zero at x = -6 • A range of 11 7 Determine the A, B, C and D values for a possible equation for this function (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
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A rational function has the following characteristics:
• A domain of {x|x = -2, x ±5, x € R}
= {x|x
{y]y = 1, y = 1/7/1₁ YER}
• A vertical asymptote at x = -2
• A horizontal asymptote at y = 1
A point of discontinuity when y =
• A zero at x = -6
• A range of
11
7
Determine the A, B, C and D values for a possible equation for this function
(x-A)(x+B)
y =
(x-C)(x +D)
State your answer as ABCD. (Do not include spaces or commas)
Transcribed Image Text:A rational function has the following characteristics: • A domain of {x|x = -2, x ±5, x € R} = {x|x {y]y = 1, y = 1/7/1₁ YER} • A vertical asymptote at x = -2 • A horizontal asymptote at y = 1 A point of discontinuity when y = • A zero at x = -6 • A range of 11 7 Determine the A, B, C and D values for a possible equation for this function (x-A)(x+B) y = (x-C)(x +D) State your answer as ABCD. (Do not include spaces or commas)
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