Thursday

November 27, 2014

November 27, 2014

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

- ****college algebra…radical functions**** -
**Steve**, Monday, October 17, 2011 at 1:39pmYou 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 ...

advance functions gr12 - write an equation for a rational function whose graph ...

Pre-Calculus - Rational Functions does the following function have a hole or a ...

Calculus - Which of these rational functions has a ) horizontal asymptote? a ...

College Algebra - Given the following rational functions,find:a.)the horizontal ...

Rational Functions - Write an equation for a rational function whose graph has ...

Math - Analyze the function algebraically. List its vertical asymptotes, holes, ...