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

Question

3 years ago

13

has those attributes.

1 answer:

liubo4ka [24] · Answer 1 · 2022-01-14T15:49:43+03:00

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.