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Write a rational function that meets the following criteria:

Vertical asymptote at x = 1

Horizontal asymptote at y = 2

and a hole at x = 3​

Respuesta :

You can get a vertical asymptote at x=1 using y = 1/(x-1)
You can generate a hole at x=3 by multiplying by (x - 3/(x - 3) which is undefined at x=3 but otherwise equals 1
You can move the horizontal asymptote up to y=2 by adding 2

y = (x - 3)/((x - 1)(x - 3)) + 2

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