Which of the following rational functions is graphed below?1010A. F(X) =(x+7)(x-2)1B. F(X)=(x-7)(x+2)C. F(X) = (x+230*1(7)(-2)хD. F(2) + (x-7(x-7)(x+2)
Given :
We get the vertical asymptotes points are (-7,0) and (2,0) from the given graph.
So the denominator of the function should be of the form
[tex](x-(-7)(x-2)=(x+7)(x-2)_{}[/tex]There are no horizontal asymptotes.
So the numerator will be x.
Hence the function is
[tex]F(x)=\frac{x}{(x+7)(x-2)}[/tex]