The rational function shown in the graph is:
[tex]y = \frac{x - 6}{x - 5}[/tex]
How to determine the function?
First, we can see that we have an asymptote at x = 5, so the denominator becomes equal to zero when x = 5.
Then the rational function is something like:
[tex]y = \frac{g(x)}{x - 5}[/tex]
We also can see that when x = 6, the function intercepts the x-axis, then we must have that:
g(6) = 0
So we can define:
g(x) = x - 6
So the rational function is:
[tex]y = \frac{x - 6}{x - 5}[/tex]
If you want to learn more about rational functions, you can read:
https://brainly.com/question/1851758
