Considering it's asymptotes, it is found that the rational function graphed below is given by:
A. [tex]F(x) = \frac{1}{(x - 6)(x + 6)}[/tex]
What are the asymptotes of a function f(x)?
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
In this question, looking at the graph, it is found that there are vertical asymptotes at x = -6 and x = 6, and an horizontal asymptote at y = 0, hence the function is given by:
A. [tex]F(x) = \frac{1}{(x - 6)(x + 6)}[/tex]
More can be learned about asymptotes at https://brainly.com/question/16948935
