The graph of a rational function has vertical asymptote at x=-3 and x=3 and a horizontal asymptote At y=1. write a function that has those attributes.

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Mathematics

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18 February, 10:52

The graph of a rational function has vertical asymptote at x=-3 and x=3 and a horizontal asymptote At y=1. write a function that has those attributes.

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Answers (1)

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Schultz · Answer 1

1 / (x^2-9) + 1.

Step-by-step explanation:

It will be a fractional function with the denominator = 0 when x = 3 or - 3.

Therefore the denominator could be x^2 - 9.

At high and low values of x the function will have an horizontal asymptote at y = 0 so to get an asymptote at x = 1 the function could be

1 / x^2-9) + 1.