Question

Which function is shown on the graph?

Answer 1

The correct choice is C.

Step-by-step 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

`y = (6)/( - 1) = - 6`

Our rational function now becomes

`y = (b + 6x)/(1 - x)`

The function also has a y-intercept of 3,

`3 = (b + 6(0))/(1 - 0) = b`

Therefore the required function is

`y = (3 + 6x)/(1 - x)`