Question

The graph shown here is the graph of which of the following rational functions

Answer 1

The graph above is the graph of,


`f(x) = (1)/(x(x - 3))`

Answer 2

B.
`f(x)=(1)/(x(x-3))`

Explanation:

The given graph has two vertical asymptotes. These are;

`x=0` and
`x=3`

This implies that the rational function must have denominator of

`x(x-3)`

The graph also has a horizontal asymptote of
`y=0`.

The function that has these properties is

`f(x)=(1)/(x(x-3))`