ANSWER
The correct choice is C.
EXPLANATION
The given graph has vertical asymptote at x=1.
Therefore , the denominator of the function represented by the graph should be 1-x
The graph also has a horizontal asymptote at y=-6. The numerator should be of the form
b+6x,
where b is a constant.
So that the horizontal asymptote will be
[tex]y = \frac{6}{ - 1} = - 6[/tex]
Our rational function now becomes
[tex]y = \frac{b + 6x}{1 - x} [/tex]
The function also has a y-intercept of 3,
[tex]3 = \frac{b + 6(0)}{1 - 0} = b[/tex]
Therefore the required function is
[tex]y = \frac{3 + 6x}{1 - x} [/tex]
