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

Answer:
A
Step-by-step explanation:
The red line tells you there is an "asymptote" at x = 2
This means that the graph doesn't exist whenever x = 2
In other words, the graph is "undefined" at x = 2
If our graph's function/equation is
[tex]f(x) = \frac{1}{x-2}[/tex]
then
[tex]f(x = 2) = \frac{1}{2 - 2} = \frac{1}{0}[/tex]
But we can't divide by 0 in mathematics, as it is impossible.
The fact that we get division by 0, and it can't be solved, means the function is "undefined" at that point.
Therefore, A is correct
(or you can go to geogebra.org/graphing and try each option to see what the graph looks like)