which of the following rational functions is graphed below??

Because of the vertical asymptotes, we can see that the correct option is D.
First, we can see that we have two vertical asymptotes at x = 3 and x = -3, so the denominator becomes equal to zero for these two values.
Then the function is something of the form:
[tex]f(x) = \frac{a}{(x - 3)*(x + 3)}[/tex]
Where a is a constant.
The only option in this form is D, so the correct option is:
[tex]f(x) = \frac{1}{(x - 3)*(x + 3)}[/tex]
If you want to learn more about rational functions:
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