Question

Which of the following rational functions is graphed below?​

Answer 1

Answer:

The answer is option A.

Step-by-step explanation:

In order to find the equation of the function, when the graph is already known to us in the question, we can use the various coordinates points through which the curve is passing from. The various Asymptotes of the graph can be used to find the expression in the denominator of the function.

So here the graph is of the form:

$y=1/((x-a)(x-b))$

Now when the value of x=-6 and x=6, we have the vertical asymptote, so at x=-6 and x=6 is where the vertical asymptotes lies.

Thus, we have a=6, b=-6.

And hence, the function whose graph is given will be

$y=\frac{1}{\left(x-6\right)\left(x+6\right)}$

which is given by option A.