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A rational function f(x) has one vertical asymptote x= 2, and one horizontal asymptote, y=-3 and the graph passes through the ordered pair (5,0). Which of the following rational functions satisfy these given properties?

A rational function f(x) has one vertical asymptote x= 2, and one horizontal asymptote, y=-3 and the graph passes through the ordered pair (5,0). Which of the following rational functions satisfy these given properties?

Advanced Engineering Mathematics
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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A rational function f(x) has one vertical asymptote x= 2, and one horizontal asymptote, y=-3 and the graph passes through the ordered pair (5,0). Which of the following rational functions satisfy these given properties? -3x + 15 f(x) f(x): x 2 - Option 1 Option 2 -3x - 15 x 2 f(x) = = Option 3 f(x) Option 4 = = 3x 2 - x 3x + 10 2- x
Transcribed Image Text:A rational function f(x) has one vertical asymptote x= 2, and one horizontal asymptote, y=-3 and the graph passes through the ordered pair (5,0). Which of the following rational functions satisfy these given properties? -3x + 15 f(x) f(x): x 2 - Option 1 Option 2 -3x - 15 x 2 f(x) = = Option 3 f(x) Option 4 = = 3x 2 - x 3x + 10 2- x
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