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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)

Which of the following rational functions is graphed below1010A FX x7x21B FXx7x2C FX x230172хD F2 x7x7x2 class=


Answer :

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]

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