Posted by **Brianna ** on Sunday, October 16, 2011 at 11:01pm.

Create a rational function such that the graph of has vertical asymptotes at x=5 and x= -7, a hole at x=2 , and a horizontal asymptote at y = 14. By creating a rational function, you are to write rule for this function. There are many correct solutions here.

- ****college algebra…radical functions**** -
**Steve**, Monday, October 17, 2011 at 1:39pm
You know that the denominator has to be zero at x=5 and x=-7

The hole means that the numerator and denominator are both zero at x=2

so, we can start with

f(x) = (x-2)/[(x-2)(x-5)(x+7)]

Now, we need a horizontal asymptote at y=14. That means that the numerator and denominator must have the same degree, x^n, with the highest degree having a coefficient in the numerator 14 times that in the denominator. So, the simplest one I can think of is

f(x) = 14x^2(x-2)/[(x-2)(x-5)(x+7)]

## Answer this Question

## Related Questions

- Gr.11 - Rational functions graphing. - 1. Identify a rational function whose ...
- College Algebra - 1.Use completing the square to describe the graph of the ...
- Precalculus - Write an equation for rational function with given properties. a...
- college algebra - Given the following rational function, find: A. horizontal ...
- Pre-Calculus - Rational Functions does the following function have a hole or a ...
- advance functions gr12 - write an equation for a rational function whose graph ...
- Calculus - Which of these rational functions has a ) horizontal asymptote? a ...
- College Algebra - Given the following rational functions,find:a.)the horizontal ...
- calculus - The following rational function describes concentration in blood of a...
- Rational Functions - Write an equation for a rational function whose graph has ...

More Related Questions