Considering it's asymptotes, the rational function graphed is given by:
B. [tex]F(x) = \frac{x + 1}{x(x - 4)}[/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.
Looking at the graphs, the vertical asymptotes are at x = 0 and x = 4, hence the denominator is:
x(x - 4).
The horizontal asymptote is y = 0, that is [tex]\lim_{x \rightarrow \infty} f(x) = 0[/tex], hence the function is:
B. [tex]F(x) = \frac{x + 1}{x(x - 4)}[/tex].
More can be learned about vertical asymptotes at https://brainly.com/question/16948935
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