(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use the given information about the asymptotes of a function to write an equation for a rational function. You may leave your function in "factored" form.

2. Relevant equations

1. Vertical Asymptote at x=3 and x=-2

2. Vertical Asymptote at x=5, Horizontal Asymptote at y=3

3. Hole at (2,3), Horizontal Asymptote at y=0

4. Horizontal Asymptote at y=0, Vertical Asymptote at x=6, Goes through the point (3,-2)

5. Vertical Asymptote at x=2, Oblique Asymptote with Equation y=3x-5

3. The attempt at a solution

I know the basics for finding horizontal, vertical, and oblique asymptotes when you have the equation. I'm just having a hard time going backwards.

1. f(x)=1/(x-3)(x+2)

2. f(x)=3x/(x-5)

3. I know the denominator has to be a higher degree than the numerator, bu the "hole" in the graph through me for a loop. No idea where to start.

4. I'm having a similar problem, I don't know how to find a point that goes through the asymptote.

5. f(x)=3x^{2}-11x+10/(x-2)

I got that by setting the denominator equal to zero to find '(x-2)'. I then multiplied the oblique asymptote 'y=3x-5' by '(x-2)' to get the numerator. I think i did something wrong though.

Any help would be greatly appreciated!

Thanks

Lizardjuice7

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Building Functions from Asymptotes

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