14.8k views
2 votes
Write a function with the following characteristics?

- A vertical asymptote at x = 3
- A horizontal asymptote at y = 2
- Domain: {x=+-3}

Write a function with the following characteristics? - A vertical asymptote at x = 3 - A-example-1
User Razibdeb
by
5.4k points

1 Answer

4 votes

9514 1404 393

Answer:

the marked answer (A) is correct

Explanation:

The domain restrictions by themselves tell you the denominator of the rational function is ...

(x -3)(x +3) = x² -9 . . . . . matches only choice A

These domain restrictions will give vertical asymptotes at x=±3 if there is no cancelling zero in the numerator.

The horizontal asymptote at y=2 tells you the ratio of leading terms of the numerator and denominator polynomials must be 2. This requirement is also matched by choice A.

Write a function with the following characteristics? - A vertical asymptote at x = 3 - A-example-1
User Anivas
by
5.0k points