Question

The graph of a rational function has vertical asymptote at x=-3 and x=3 and a horizontal asymptote At y=1.write a function that has those attributes.

Answer 1

Answer:

1/(x^2-9)   + 1.

Step-by-step explanation:

It will be a fractional function with the denominator = 0 when x = 3 or -3.

Therefore the  denominator could be x^2 - 9.

At high and low values of x the function  will have an horizontal  asymptote at y = 0 so to get an asymptote at x = 1 the function could be

1/ x^2-9)   + 1.