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VARVARA [1.3K]
3 years ago
10

How to find vertical asymptotes and horizontal asymptotes of a rational function?

Mathematics
1 answer:
irina1246 [14]3 years ago
7 0
A vertical asymptote occurs when the graph of a function approaches infinity as the independent variable approaches one or more specific rational values. This happens when the denominator of a fraction becomes zero. However, the fraction has to be in its simplest form (no common monomial factor between denominator and numerator).
A horizontal asymptote usually occurs for large positive or negative values of the independent variable where the function is a fraction and the polynomials forming the numerator and denominator have the same degree.
Example: y=(x+7)/(x-1) has a vertical asymptote at x=1 and a horizontal asymptote at y=1.
Example: y=(3x²+5x+9)/(x²-1) has a vertical asymptote at x=1 and at x=-1, and a horizontal asymptote at y=3.
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Given the equation 2X +4/3 Y equals one and Y -9/13 x=9 by what Vector would you multiply the first equation so that combining t
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Step-by-step explanation:

We have the following equations:

2x + \frac{4}{3}y = 1       (1)

y -\frac{9}{13}x=9          (2)

Let us call "a" the coefficient of the variable x in the first equation and call "b" the coefficient of the variable x in the second equation.

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