# How do you write a rational function that has the following properties: a zero at x= 4, a hole at x= 7, a vertical asymptote at x= -3, a horizontal asymptote at y= 2/5?

##### 1 Answer

Rational function is

#### Explanation:

A zero at

a hole at

a vertical asymptote at

a horizontal asymptote at

Hence desired rational function is

i.e.

See its graph down below. Observe vertical asymptote

graph{(2x^2-22x+56)/(5x^2-20x-105) [-10.67, 9.33, -4.4, 5.6]} 1