Question

Which of the following rational functions is graphed below a. F(x)=(x-1)/x(x-2)

Answer 1

A

Explanation:

Answer 2

`F(x)=(1)/(x+4)`, where
`x \\eq -4`

Explanation:

The given graph represents a rational function with a vertical asymptote
`x=-4` and horizontal asymptote
`y=0`.

Once we know the asymptotes of the rational function, we can deduct that the equation of this function must have its domain restricted. In other words, the right function must have the domain defined for all real numbers except for
`x=-4`.

Among the options, the only function that has the correct restriction is B, so that's the right answer.

Therefore, choice B is the correct answer.