# What is a rational function that has x=4 and x=3 as vertical Asymptotes, and (-2,0) as an x-intercept?

##### 1 Answer

Jan 20, 2017

Example; P = 0 and A = 1 give ,

#### Explanation:

The design includes yet another asymptotic curve y = P(x).

The asymptotes-inclusive graph is for the chosen example #y =(x+

2)/((x-3)(x-4))#. The intercept is marked.

graph{(y(x-3)(x-4)-x-2)(x-3+.001y)(x-4+.01y)y((x+2)^2+y^2-.01)=0 [-10, 10, -5, 5]}