1. ## Rational Functions

Hi,
If you were given, say: x-intercept of -4, y-intercept of -2, vertical asymptote x=2, and horizontal asymptote y=1. How do you find the equation for a rational function with these features?

2. Originally Posted by Hellooo
Hi,
If you were given, say: x-intercept of -4, (x+4) in the numerator

y-intercept of -2, y = -2 when x = 0

vertical asymptote x=2, (x-2) in the denominator

and horizontal asymptote y=1. degree of numerator = degree of denominator and ratio of the leading coefficients = 1

$\displaystyle y = \frac{x+4}{x-2}$

3. Thanks, but can you show the steps in how you reached the answer?

4. Originally Posted by Hellooo
Hi,
If you were given, say: x-intercept of -4, y-intercept of -2, vertical asymptote x=2, and horizontal asymptote y=1. How do you find the equation for a rational function with these features?
The simplest model to use is $\displaystyle y = \frac{a}{x - b} + c$. Your job is to find the values of a, b and c using the given information. You will get an answer equivalent to skeeter's.