Question

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

Answer 1

The graph above is the graph of,

$f(x) = \frac{1}{x(x - 3)}$

Answer 2

Answer:

B. $f(x)=\frac{1}{x(x-3)}$

Step-by-step 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

$f(x)=\frac{1}{x(x-3)}$