Question

Which of the following rational functions is graphed below?

Answer 1

Vertical asymptote:

A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;

In a graphic, these vertical asymptotes are given by dashed vertical lines.

An example is a value of x for which the denominator of the function is 0.

In this graphic:

Dashed vertical lines at: $x = -3, x = 7$, thus, for $x - (-3) = x+3$ and $x - 7$ the denominator is zero.

Thus, the function graphed is:

$F(x) = \frac{1}{(x+3)(x-7)}$

And the correct answer is given by option C.

To take a look at a problem with asymptote, you can check this item brainly.com/question/4084552.